A gas at 300 k is compressed to reduce its volume to half of its volume. At what temperature, will it become half of its initial volume?

Options

A. 98 k
B. 100 k
C. 150 k
D. 162 k

Answer

C

Explanation

Let,initial volume `V_(1)=V at300 k`
Final volume `V_(2)=V/2at T_(2)=temperature`
Then, according to Charles' law
`V_(1)/T_(1)=V_(2)/T_(2)rArrT_(2)=(V_(2)xxT_(1))/V_(1)=(V//2xx300)/V=150 k`
Hence,the final temperature is 150 k.