One $k g$ of diatomic gas is at a pressure of $8 \times 10^{4} N / m^{2}$ . The density of the gas is $4 k g / m^{3}$ . What is the energy of the gas due to its thermal motion?

5 \times 10^{4} J

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6 \times 10^{4} J

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7 \times 10^{4} J

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3 \times 10^{4} J

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Solution

The correct option is C $5 \times 10^{4} J$
Thermal energy corresponds to internal energy.
Mass $= 1$ kg
Density $= 8$ kgper $m^{3}$
Volume $= \frac{M a s s}{D e n s i t y} = \frac{1}{8} m^{3}$
Pressure $= 8 \times 10^{4}$ Nper sq.m
$∴$ Internal Energy $= \frac{5}{2} P V = 5 \times 10^{4}$ J

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One kg of diatomic gas is at a pressure of 8×104 N/m2. The density of the gas is 4 kg/m3. What is the energy of the gas due to its thermal motion?

The correct option is C 5×104JThermal energy corresponds to internal energy.Mass=1kgDensity=8kgper m3Volume =MassDensity=18m3Pressure=8×104Nper sq.m∴ Internal Energy=52PV=5×104J

One $k g$ of diatomic gas is at a pressure of $8 \times 10^{4} N / m^{2}$ . The density of the gas is $4 k g / m^{3}$ . What is the energy of the gas due to its thermal motion?

The correct option is C $5 \times 10^{4} J$
Thermal energy corresponds to internal energy.
Mass $= 1$ kg
Density $= 8$ kgper $m^{3}$
Volume $= \frac{M a s s}{D e n s i t y} = \frac{1}{8} m^{3}$
Pressure $= 8 \times 10^{4}$ Nper sq.m
$∴$ Internal Energy $= \frac{5}{2} P V = 5 \times 10^{4}$ J