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

 

[m2003]

Your solution seems correct. It is possible that the program is expecting the answer in a different unit, such as m^3 instead of cm^3. Double check the expected units and make sure you are using the correct conversion factors. Additionally, make sure you are using the correct value for the coefficient of volume expansion for mercury. If the program is still giving an incorrect answer, it may be a technical issue with the program itself. You can try reaching out to the instructor or TA for clarification or assistance.