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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

The density of helium gas at 0°C is ρ0 = 0.179 kg/m3. The temperature is then raised to T = 10°C but the pressure is kept constant. Assuming the helium is an ideal gas, calculate the new density ρf of the gas.

To determine
The new density ( ρf ).

Explanation

Given Info: The density at temperature T0=0οC is ρ0=0.179kgm3 . The temperature is raised to Tf=100οC .

For the same mass, the density is inversely proportional to volume. Therefore,

ρ0ρf=VfV0       (I)

  • V0 and Vf are the volumes at temperatures T0 and Tf .

At constant pressure,

TfT0=VfV0       (II)

From Equations (I) and (II),

ρ0ρf=TfT0

On Re-arranging, the new density is,

ρf=ρ0(T0Tf)

Substitute 0

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