Question

stion 13 of 20 : Select the best answer for the question. 13. If a certain mass of mercury has a volume of 0.002 m3 at a temperature of 20°C, what will be the volume at 50°C? A. 0.002021624 m3 B. 0.004021624 m3 C. 0.000010812 m3 D. 0.002010812 m3

Answer 1

Answer : The correct option is, (A) $0.002010812m^3$

Solution : Given,

Volume of mercury at temperature $20^oC$ = $0.002m^3$

As we know that the mercury is a liquid substance. So, we have to apply the volume of expansion of the liquid.

Formula used for the volume expansion of liquid :

$V_{T}=v_{1}[1+\gamma (T_{2}-T_{1})]$

or,

$V_{2}=V_{1}[1+\gamma (T_{2}-T_{1})]$

where,

$V_{T}$ = volume of liquid at temperature $T^oC$

$V_{1}$ = volume of liquid at temperature $20^oC$

$V_{2}$ = volume of liquid at temperature $50^oC$

$\gamma$ = volume expansion coefficient of mercury at $20^oC$ is 0.00018 per centigrade    (Standard value)

Now put all the given values in the above formula, we get the volume of mercury at $50^oC$.

$V_{2}=0.002[1+0.00018(50-20)]=0.0020108m^3$

Therefore, the volume of mercury at $50^oC$ is, $0.002010812m^3$