Which one among the following is the correct option for right relationship between $C_{p}$ and $C_{V}$ for one mole of ideal gas?(1) $\mathrm{C}_{\mathrm{P}}+\mathrm{C}_{\mathrm{V}}=\mathrm{R}$(2) $C_{\mathrm{P}}-\mathrm{C}_{\mathrm{V}}=\mathrm{R}$(3) $\mathrm{C}_{\mathrm{p}}=\mathrm{RC}_{\mathrm{v}}$(4) $\mathrm{C}_{\mathrm{V}}=\mathrm{RC}_{\mathrm{P}}$

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Which one among the following is the correct option for right relationship between $C_{p}$ and $C_{V}$ for one mole of ideal gas?
(1) $\mathrm{C}_{\mathrm{P}}+\mathrm{C}_{\mathrm{V}}=\mathrm{R}$
(2) $C_{\mathrm{P}}-\mathrm{C}_{\mathrm{V}}=\mathrm{R}$
(3) $\mathrm{C}_{\mathrm{p}}=\mathrm{RC}_{\mathrm{v}}$
(4) $\mathrm{C}_{\mathrm{V}}=\mathrm{RC}_{\mathrm{P}}$

Chemistry

Which one among the following is the correct option for right relationship between $C_{p}$ and $C_{V}$ for one mole of ideal gas?
(1) $\mathrm{C}_{\mathrm{P}}+\mathrm{C}_{\mathrm{V}}=\mathrm{R}$
(2) $C_{\mathrm{P}}-\mathrm{C}_{\mathrm{V}}=\mathrm{R}$
(3) $\mathrm{C}_{\mathrm{p}}=\mathrm{RC}_{\mathrm{v}}$
(4) $\mathrm{C}_{\mathrm{V}}=\mathrm{RC}_{\mathrm{P}}$

Answer is (2)

At constant volume we have, $q_V = C_V\Delta T = \Delta U$