How Do You Calculate the Coefficient of Expansion for Glass Using Mercury?

AI Thread Summary
To calculate the coefficient of volume expansion for glass using mercury, start by establishing two equations: one for the volume of mercury based on its coefficient of expansion and the initial volume, and another for the volume of the glass flask similarly defined. The key is to express the difference in volumes at temperature T, which equals the volume of mercury that overflows. The user initially struggled with substituting variables and incorrectly canceled out volume, but clarified that focusing on the volume difference was essential. Properly setting up these equations will lead to the correct calculation of the glass's coefficient of volume expansion.
cukitas2001
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Hey guys, having some trouble on some thermodynamics this time.

1) A glass flask whose volume is V_o at 0.0 degrees C is completely filled with mercury at this temperature. When flask and mercury are warmed to a temperature of T, a volume V of mercury overflow.

If the coefficient of volume expansion of mercury is B_merc, compute the coefficient of volume expansion of the glass.

I tried relating the two expansions with the formulas:
deltaV=B*V_o*deltaT and V=V_o(1+B*deltaT)

I tried to assume they both had the same V_o and tried subing an expression i got from the mercury expansion into my expression for glass expansion but i keep having V cancel out and its required int he final answer. Anyone know where I am going wrong or have any ideas?
 
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Write two equations: one for the volume of mercury in terms of V_o, B_merc, and T; the other for the volume of the flask in terms of V_o, B_glass, and T. Then use those two expressions to write an equation that says: The difference between the two volumes at temperature T equals V.
 
Doc Al said:
Write two equations: one for the volume of mercury in terms of V_o, B_merc, and T; the other for the volume of the flask in terms of V_o, B_glass, and T. Then use those two expressions to write an equation that says: The difference between the two volumes at temperature T equals V.

ok thanks man it was the difference thing i didnt know i was trying substitution for soem reason...thanks truckloads again
 
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