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Molar heat capacity of aluminium is 25 J...

Molar heat capacity of aluminium is 25 `JK^(-1) mol^(-1)`. The heat necessary to raise the temperature of 54 g of aluminium (atomic mass 27 g `mol^(-1)`) from `30^(@)C` to `50^(@)C` is

A

a) 1.5 kJ

B

b) 0.5 kJ

C

c) 1.0 kJ

D

d) 2.5 kJ

Text Solution

Verified by Experts

The correct Answer is:
C
The heat required to raise the temperature of 54 g of aluminium from `30^(@)` to `50^(@)C`
`q = nC(T_(2) - T_(1))`
where n = moles of substance
C = molar heat capacity
`= ("Mass of aluminium (g)")/("Molar mass of aluminium") xx C xx Delta T`
`= (54)/(27) xx 25 xx 20 J" "(because Delta T = 50 - 30 = 20^(@)C)`
= 1000 J = 1.0 kJ
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