Question

A gas at 27degree celcius has a volume v and pressure p. On heating its pressure is doubled and volume becomes 3times. The resulting temperature of the gas will be

Answer 1

Dear Student,
$$\begin{gathered} T_1=\; 27\; +273\; =300K \\ {V}_1=V \\ {V}_2=3V \\ T2=? \\ \mathrm{use}{P}_1{V}_1/T_1=P_2{V}_2/T_2 \\ Given \\ {P}_1=2P_2 \\ So{V}_1/T_1=2V_2/T_2 \\ V/300\; =\; 3\times 2\times V/T_2 \\ {T}_2=1800K=1527C \end{gathered}$$

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