The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 9.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.) dT= K/min

The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 9.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.) dT= K/min

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The mean free path for helium at a certain temperature and pressure is 2.10 × 10−7 m. The radius of a helium atom can be taken as 1.10 × 10−11 m . What is the measure of the density of helium under those conditions (a) in molecules per cubic meter and (b) in moles per cubic meter?
The pressure, volume, and temperature of a mole of an ideal gas are related by the equation PV = 8.31T, where P is measured in kilopascals, V in liters, and T in kelvins. Use differentials to find the approximate change in the pressure if the volume increases from 10 L to 10.6 L and the temperature decreases from 335 K to 330 K. (Note whether the change is positive or negative in your answer. I Round your answer to ti decimal places.
Two containers of equal volume each hold samples of the same ideal gas. Container A has 2 times as many molecules as container B. If the gas pressure is the same in the two containers, find the ratio of the the absolute temperatures TA and TB ( i.e TA / TB ) . Calculate to 2 decimals.
The volume of an automobile tire is 2.5 × 10−2m3 . the pressure of the air in the tire is 3.3 atm and the temperature is 17C ◦ . what is is the mass of air in grams ? The mean molecular mass of air is 29g. 1 atm = 1.01 × 105 Pa ; Calculate to 2 decimals.
n = 3.9 moles of an ideal gas are pumped into a chamber of volume V = 0.135 m3 Part (a) The initial pressure of the gas is 1 atm. What is the initial temperature (in K) of the gas? Part (b) The pressure of the gas is increased to 10 atm. Now what is the temperature (in K) of the gas
In a gas that is a mixture of water (two H and one O) and carbon dioxide (one C and two O), if the water has average velocity of 347 m/s, what is the average velocity of the carbon dioxide molecule? Give your answer as number in units of m/s without entering the units.
A balloon is filled with helium gas at atmospheric pressure (1 atm) until its volume is 800 m³. The helium gas is then transferred to cylinders that have a volume of 2.3 m³ at a pres- sure of 13.3 atm. Calculate the number of cylinders used. Assume that the temperature of the helium gas remains constant. (1 atm = 1.013 × 105 Pa).
The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal gas are related by the equation PV = 8.317. Find the rate at which the volume is changing when the temperature is 325 K and increasing at a rate of 0.05 K/s and the pressure is 29 and increasing at a rate of 0.07 kPa/s. Please show your answers to at least 4 decimal places. dV dt L/s
QUESTION 2 a) An air balloon with a volume of 300 m³ and pressure of 450 Pa is floating steadily. After a while, the pressure in the balloon decreases to 200 Pa causing the balloon to shrink. What is the new volume of the balloon? (CO3, PO1, C3) b) A 10 m³ container contains an ideal gas and under a pressure of 3.5 atm is placed in room temperature (293 K). Assuming the volume of the container is constant, what is the pressure of gas when the temperature is increased to 308 K? (CO3, PO1, C3) c) In an internal combustion engine, air at atmospheric pressure is compressed in the cylinder by a piston to 1/9 of its original volume. Calculate the estimated pressure (in atm). (CO3, PO1, C3) d) A sealed metal container contains a gas at 20°C and 1 atm. To what temperature must the gas be heated for the pressure to double to 2 atm? (Ignore container expansion). (CO3, PO1, C3) e) If 60 L of oxygen at 18°C and pressure of 2.5 atm are compressed to 45 L and at the same time raised to 35°C, what…
According to the Ideal Gas Law, PV = kT, where P is pressure, Vis volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 2000 cubic inches of nitrogen at a pressure of 26 pounds per square inch and a temperature of 600 K. Determine the EXACT value of k.
If a 3 m3 of gas initially at STP is placed under a pressure of 2 atm, the temperature of the gas rises to 22◦C. What is the volume now? Calculate to 2 decimals.
If a 2 m3 of gas initially at STP is placed under a pressure of 2 atm, the temperature of the gas rises to 63◦C. What is the volume now? Calculate to 2 decimals.