Concept explainers
Interpretation:
Density is defined as molar mass, M, divided by molar volume:
Concept introduction:
Gaseous systems are used to study M,
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- When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV14 = C where C is a constant. Suppose that at a certain instant the volume is 310 cubic centimeters and the pressure is 87 kPa and is decreasing at a rate of 8 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? cm3 min (Pa stands for Pascal it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.arrow_forwardThe heat capacity ratio of an ideal gas is 1.38. What are its Cv and Cp values?arrow_forward7C. The total differential for H(T,P) (where H is enthalpy) is dT + ӘР dH dP Show that dH=C,dT for a process involving an ideal gas even if the pressure is changing. (Note that this requires that you show that (@H/@P),=0 for an ideal gas.arrow_forward
- Ideal Gas Law The pressure P, temperature T, and volume V ofan ideal gas are related by PV = nRT, where n is the number ofmoles of the gas and R is the universal gas constant. For the pur-poses of this exercise, let nR = 1; therefore, P = T/V.a. Suppose that the volume is held constant and the temperatureincreases by ∆T = 0.05. What is the approximate change inthe pressure? Does the pressure increase or decrease?b. Suppose that the temperature is held constant and the volumeincreases by ∆V = 0.1. What is the approximate change in thepressure? Does the pressure increase or decrease?c. Suppose that the pressure is held constant and the volume in-creases by ∆V = 0.1. What is the approximate change in thetemperature? Does the temperature increase or decrease?arrow_forwardGasoline having a chemical formula C3H17 is burned in an engine at a fuel-air equivalence ratio ø=1.19 and a temperature of 1000K. a) Write the stoichiometric combustion equation of the fuel; b) Write the reaction equation corresponding to the given fuel-air equivalence ratio.arrow_forward1.3 (a) To what temperature must a 1.0 L sample of a perfect gas be cooled from 25 °C in order to reduce its volume to 100 cm³?arrow_forward
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