Question 976: Thermodynamics & KTG

Question

An ideal gas follows a process described by the equation $$P{V^2} = C$$ from the initial $$({P_1},\,{V_1},\,{T_1})$$ to final $$({P_2},\,{V_2},\,{T_2})$$ thermodynamic states, where C is a constant. Then

Accepted Answer

We know,
$$PV = nRT$$
Given, $$P{V^2} = $$ constant
$$\Rightarrow$$ If $${P_1} > {P_2} \Rightarrow {V_1}  {P_2} \Rightarrow {T_1} > {T_2}$$
Also, $$\left( {{{nRT} \over V}} \right){V^2} = $$ constant
$$TV = $$ constant
$$\Rightarrow$$ If $${V_2} > {V_1}$$ then $${T_2} < {T_1}$$

Answer

If $${P_1} > {P_2}$$ then $${V_1} > {V_2}$$

Answer

If $${P_1} > {P_2}$$ then $${T_1} < {T_2}$$

Answer

If $${V_2} > {V_1}$$ then $${T_2} > {T_1}$$

Answer

If $${V_2} > {V_1}$$ then $${T_2} < {T_1}$$

Thermodynamics & KTG

An ideal gas follows a process described by the equation $P{V^2} = C from the initial ({P_1},\,{V_1},\,{T_1}) to final ({P_2},\,{V_2},\,{T_2})$ thermodynamic states, where C is a constant. Then

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