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

Question

Molar heat capacity of aluminium is 25 text JK-1 mol-1 . The heat necessary to raise the temperature of 54 g of aluminium (atomic mass 27 text g text mol-1. from 30° C to 50° C is (A) 1.5 kJ (B) 0.5 kJ (C) 1.0 kJ (D) 2.5 kJ

Tardigrade Admin · Accepted Answer

The heat required to raise the temperature of 54 g of aluminium from

30^{\circ}

to

50^{\circ} C

q = n C (T_{2} - T_{1})

where n = moles of substance C = molar heat capacity

= \frac{M a ss o f a l u mini u m ( g )}{M o l a r ma ss o f a l u mini u m} \times C \times Δ T

= \frac{54}{27} \times 25 \times 20 J

(Δ T = 50 - 30 = 20^{\circ} C)

= 1000 J = 1.0 k J

Q. Molar heat capacity of aluminium is $25 J K^{- 1}$ $m o l^{- 1}$ . The heat necessary to raise the temperature of $54 g$ of aluminium (atomic mass $27 g m o l^{- 1} .$ from $30^{\circ} C$ to $50^{\circ} C$ is

$1.5 k J$

$0.5 k J$

$1.0 k J$

$2.5 k J$

$2.0 k J$

Q. Molar heat capacity of aluminium is 25JK−1 mol−1 . The heat necessary to raise the temperature of 54g of aluminium (atomic mass 27gmol−1. from 30∘C to 50∘C is

1.5kJ

0.5kJ

1.0kJ

2.5kJ

2.0kJ