Thermal Dynamics Homework: Calculate \Delta V_{Hg}

[Abarak]

Homework Statement

A glass flask whose volume is $$1000cm^{3}$$ at a temperature of $$0.00*10^0$$ Celsius is completely filled with mercury at the same temperature. When the flask and mercury are warmed together to a temperature of 52 Celsius, a volume of $$8.35cm^{3}$$ of mercury overflows the flask.

the coefficient of volume expansion of mercury is $$\beta_{Hg} = 1.80*10^{-4}$$K

Problem:
Calculate the change in volume of the mercury $$\Delta V_{Hg}$$ during heating.

Homework Equations

$$\Delta T = T_f - T_i$$
$$\Delta V = \beta V_o \Delta T$$

The Attempt at a Solution

$$\Delta T = 325.15K - 273.15K$$
$$\Delta T = 52K$$

$$\Delta V_{Hg} = (1.80*10^{-4})(1000)(52)$$
$$\Delta V_{Hg} = 7.8 cm^3$$

I think I am doing this right but the program keeps saying it's wrong.

Any ideas?

-- Abarak

 

[Abarak]

Never mind, I calculated the last equation wrong.

Thanks anyways!

-- Abarak