A sample of an ideal gas occupies at a pressure of and a temperature of

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A sample of an ideal gas occupies

V_1 = 2.5\,\text{L}

at a pressure of

P_1 = 1.0\times10^{5}\,\text{Pa}

and a temperature of

T_1 = 300\,\text{K}

. The gas is then taken to a new state where its pressure is

P_2 = 1.5\times10^{5}\,\text{Pa}

and its temperature is

T_2 = 450\,\text{K}

. (a) Write the relation connecting

P,\,V

and

T

for a fixed mass of an ideal gas between two equilibrium states. (b) Calculate the final volume

V_2

of the gas in litres, keeping your answer to three significant figures. (c) Comment, in one or two sentences, on whether the numerical change in pressure or the numerical change in temperature has the larger influence on the volume in this case.

Related theory

Ideal Gas Law
Equation of State
Thermodynamics
Ideal gas equation
Ideal gas equation and absolute temperature
Thermal Properties of Matter

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