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Question: 4 moles of an ideal gas is at 0°C. At constant pressure it is heated to double its volume, then its ...

4 moles of an ideal gas is at 0°C. At constant pressure it is heated to double its volume, then its final temperature will be

A

0°C

B

273°C

C

546°C

D

136.5°C

Answer

273°C

Explanation

Solution

V1V2=T1T2T2=2×T1\frac{V_{1}}{V_{2}} = \frac{T_{1}}{T_{2}} \Rightarrow T_{2} = 2 \times T_{1} =2×(273+0)=546K= 2 \times (273 + 0) = 546K

T2=273×2=546K273CT_{2} = 273 \times 2 = 546K \Rightarrow 273{^\circ}C ⇒ 273°C