Parameters given:
V1_{1}1 = 200 cm3^{3}3; T1_{1}1 = 27 + 273 = 300K.
V2_{2}2 = 150 cm3^{3}3; T2_{2}2 = ?
P2_{2}2 = 2P1_{1}1.
Using the Ideal Gas Equation:
P1V1T1=P2V2T2\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}T1P1V1=T2P2V2
P1×200300=2P1×150T2\frac{P_1 \times 200}{300} = \frac{2P_1 \times 150}{T_2}300P1×200=T22P1×150
23=300T2\frac{2}{3} = \frac{300}{T_2}32=T2300
T2_{2}2 = 450K.
= 450K - 273K
= 177°C
177 - 27 = 150
That is the amount by which T1 must be increased.