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Heat Capacity at Constant Pressure

The values of...

Question

The values of critical pressure, volume and temperature are 20 kPa, $0.002 m^{3}$ and 300 K respectively. The value of the gas constant (R) is

0.126 J/K

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0.355 J/K

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0.711 J/K

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0.855 J/K

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Solution

The correct option is B 0.355 J/K
Given: $P_{c} = 20 k P a; V_{c} = 0.002 m^{3}; T_{c} = 300 K$

We know, $R = \frac{8 P_{c} V_{c}}{3 T_{c}} = \frac{8 \times 20 \times 1000 \times 0.002}{3 \times 300} = 0.355 J / K$

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