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Question: The volume of a gas at 20°C is 200 ml. If the temperature is reduced to – 20°C at constant pressure,...

The volume of a gas at 20°C is 200 ml. If the temperature is reduced to – 20°C at constant pressure, its volume will be

A

172.6 ml

B

17.26 ml

C

192.7 ml

D

19.27 ml

Answer

172.6 ml

Explanation

Solution

VTV \propto TŽ V1V2=T1T2\frac{V_{1}}{V_{2}} = \frac{T_{1}}{T_{2}}Ž200V2=(273+20)(27320)=293253\frac{200}{V_{2}} = \frac{(273 + 20)}{(273 - 20)} = \frac{293}{253}

Ž V2=200×253293=172.6mlV_{2} = \frac{200 \times 253}{293} = 172.6ml