Two blocks P and Q of different metals having their mass in the ratio 2:1 are given the same amount of heat. Their temperatures rise by the same amount, compare their specific heat capacities.

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Two blocks P and Q of different metals having their mass in the ratio 2:1 are given the same amount of heat. Their temperatures rise by the same amount, compare their specific heat capacities.

Calorimetry | Class 10 | ICSE | Physics | Selina

Two blocks P and Q of different metals having their mass in the ratio 2:1 are given the same amount of heat. Their temperatures rise by the same amount, compare their specific heat capacities.

Solution:

Let C_p and C_q denote the specific heat capacities of blocks P and Q respectively

According to the question, the mass ratio of P and Q is 2:1. Therefore, if mass of Q is m then the mass of P will be 2m.

We know that the expression for specific heat capacity is

C = Q / m × △t

Now writing expressions for both the P and Q blocks, we have

C_p = Q / 2m × △t ……………………. (1)

C_q = Q / m × △t …………………. (2)

Dividing (1) by (2) in order to compare both quantities, we have

C_p / C_q = (Q / 2m × △t) / (Q / m × △t)

Or, C_p / C_q = (Q / 2m × △t) × (m × △t / Q)

C_p / C_q = 1 / 2

Thus, the required ratio is 1: 2.

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