One mole of ideal gas passes through a process where pressure and volume obey the relation $P = {P_0}\left[ {1 - {1 \over 2}{{\left( {{{{V_0}} \over V}} \right)}^2}} \right]$. Here P0 and V0 are constants. Calculate the change in the temperature of the gas if its volume changes form V0 to 2V0

Question

One mole of ideal gas passes through a process where pressure and volume obey the relation $P = {P_0}\left[ {1 - {1 \over 2}{{\left( {{{{V_0}} \over V}} \right)}^2}} \right]$. Here P₀ and V₀ are constants. Calculate the change in the temperature of the gas if its volume changes form V₀ to 2V₀

${3 \over 4}{{{P_0}{V_0}} \over R}$

${1 \over 2}{{{P_0}{V_0}} \over R}$

${5 \over 4}{{{P_0}{V_0}} \over R}$

${1 \over 4}{{{P_0}{V_0}} \over R}$

Solution

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