In: Chemistry
1. The molar heat capacity of silver is 25.35 J/mol⋅∘C. How much energy would it take to raise the temperature of 11.9 g of silver by 11.0 ∘C?
2.What is the specific heat of silver?
3.A piston has an external pressure of 8.00 atm. How much work has been done in joules if the cylinder goes from a volume of 0.170 liters to 0.540 liters?
4.Calculate the standard enthalpy change for the reaction
2A+B⇌2C+2D
Use the following data:
Substance | ΔH∘f (kJ/mol) |
A | -243 |
B | -375 |
C | 215 |
D |
-499 |
1.
First, you have the molar heat capacity. You want the specific heat capacity.
Molar mass of silver, Ag = 107.9 g/mol
Specific heat capacity of silver = 25.35 J/molC x (1 mol / 107.9 g)
= 0.2349 J/gC
Now, we know that
q = m c T
= 11.9 g x (0.2349 J/goC) x (11 oC)
= 30.75 J
2.
The molar heat capacity of silver is 25.35 J/moloC.
Molar mass of silver, Ag = 107.9 g/mol
Specific heat capacity of silver = 25.35 J/moloC x (1 mol / 107.9 g)
= 0.2349 J/goC
3.
Work = negative pressure times change in volume.
Work, w = - PV
We know that
1 L x atm = 101.3 J
Pressure, P = 8 atm
Change in volume, V = 0.540 L - 0.170 L = 0.37 L
So, substituting the values, we get
w = - 8 atm x 0.37 L
= - 2.96 L atm
= - 2.96 x 101.3 J
= - 300 J
4.
2A + B ⇌ 2C + 2D
Standard enthalpy change of the reaction
= 2ΔHf°(C) + 2ΔHf°(D) - 2ΔHf°(A) - ΔHf°(B)
= 2(215) + 2(-499) - 2(-243) - (-375)
= 430 - 998 + 486 + 375
= 293 kJ/mol