A clown at a birthday party has brought along a helium cylinder, with which he intends to fill balloons. When full, each balloon contains 0.00440 m3 of helium at an absolute pressure of 1.10 x 105 Pa. The cylinder contains helium at an absolute pressure of 1.90 x 107 Pa and has a volume of 0.00320 m3. The temperature of the helium in the tank and in the balloons is the same and remains constant. What is the maximum number of people who will get a balloon?

A cylindrical glass beaker of height 1.256m rests on a table. The bottom half of the beaker is filled with a gas, and the top half is filled with liquid mercury that is exposed to the atmosphere. The gas and mercury do not mix because they are separated by a frictionless, movable piston of negligible mass and thickness. The initial temperature is 277 K. The temperature is increased until a value is reached when one-half of the mercury has spilled out. Ignore the thermal expansion of the glass and mercury, and find this temperature in kelvins. Number Units

n = 3.9 moles of an ideal gas are pumped into a chamber of volume V = 0.125 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?

A gas chamber is to be designed to separate two gases with the following specifications: Hot gas temperature 1145°C Cold gas temperature 45°C Hot gas heat transfer coefficient 230 W/m² K Cold gas heat transfer coefficient 290 W/m² K Metal wall thermal conductivity 115 W/m K If the maximum temperature of the wall on the hot side does not exceed 545°C, using thermal resistance concept, what thickness should the metal wall between the hot gas and cold gas be in mm?

You are inflating the tires on your bicycle using a manual pump. The volume inside of the pump is initially 0.16 m cube with a pressure of 2 atm. If you push down on the piston and reduce the volume inside to 0.07 m cube, what is the new pressure inside of the pump? Assume the temperature inside the pump stays constant.

The number density in a container of neon gas is 4.80×1025 m^−3. The atoms are moving with an rms speed of 680 m/s . What is the pressure inside the container? p= 2.46×105 Pa What is the temperature inside the container?

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.) K/min dT_ dt

Two containers of equal volume each hold samples of the same ideal gas. Container A has twice as many molecules as container B. If the gas pressure is the same in the two containers, the correct statement regarding the absolute temperatures TA and TB in containers A and B, respectively, is TA = TB TA = 2TB %3D TA = TB/2 TA= 1B//2 TA= TB/4 %3D

Oxygen with mass of m1=6 g and temperature T1=300 K is in a container under  pressure p1= 9.66·105 Pa. If an unknown gas with mass m2= 3 g and temperature T2=330 K is placed in the same container, then the gas is under pressure p2=9·105 Pa. Find the molar mass of the unknown gas.

The volume of an ideal gas is held constant. Determine the ratio P₂/P₁ of the final pressure to the initial pressure when the temperature of the gas rises (a) from 54 to 108 K and (b) from 35.0 to 66.5 °C. (a) P₂/P₁ = Number i (b) P2/P₁ = Number i Units Units