Question

The invariable volume of a brass sphere is 1000 cc at $0^{\circ }C$. Its volume at ${100}^{\circ }C$ is $(\alpha =18\times {10}^{-6}{/}^{\circ }C)$

• A. 1000 cc
• B. 994.6 cc
• C. 1005.4 cc
• D. 100.54 cc

Answer 1

Answer: (C)

1005.4 cc

Final volume = initial volume $\times$ (1 + $\gamma \Delta T$)
But $\gamma$ = 3$\alpha$
So, final volume = initial volume x (1 + $3\alpha \Delta T$)
= 1000(1 + 3 x 18 x 10${}^{-6}$ x 100)
= 1005.4cc