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Question

# At constant pressure, density of a gas is :directly proportional to absolute temperatureinversely proportional to absolute temperatureindependent of temperaturedirectly proportional to square root of absolute temperature

A
independent of temperature
B
directly proportional to square root of absolute temperature
C
inversely proportional to absolute temperature
D
directly proportional to absolute temperature
Solution
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#### Density=mass(w)Volume(V)Now by ideal gas equation, PV = nRTSo this gives PV=wMRT, where M is the molecular weightSo on putting the value of w, we getDensity, d=PMRTClearly if pressure is constant, density is inversely proportional to temperature (T)

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