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The ratio of densities of two bodies is 2:3 and their specific heats are 0.13 and 0.08 repectively. The ratio of their thermal capacities per volume is.?
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The ratio of densities of two bodies is 2:3 and their specific heats a...
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The ratio of densities of two bodies is 2:3 and their specific heats a...
Explanation:


Let the two bodies be A and B with densities ρA and ρB and specific heats cA and cB.


Given, ρA:ρB = 2:3


Let ρB = 3k and ρA = 2k.


Also, cA = 0.13 and cB = 0.08.


Formula:


Thermal Capacity per unit volume = ρ x Specific Heat


Solution:


Step 1: Calculation of Thermal Capacity per unit volume of body A


Thermal Capacity per unit volume of body A = ρA x cA


= (2k) x 0.13


= 0.26k


Step 2: Calculation of Thermal Capacity per unit volume of body B


Thermal Capacity per unit volume of body B = ρB x cB


= (3k) x 0.08


= 0.24k


Step 3: Calculation of Ratio of Thermal Capacities per unit volume


Ratio of Thermal Capacities per unit volume = Thermal Capacity per unit volume of body A / Thermal Capacity per unit volume of body B


= (0.26k) / (0.24k)


= 13/12


Therefore, the ratio of thermal capacities per unit volume of the two bodies is 13:12.


Conclusion:


Hence, the ratio of thermal capacities per unit volume of the two bodies is 13:12.
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The ratio of densities of two bodies is 2:3 and their specific heats are 0.13 and 0.08 repectively. The ratio of their thermal capacities per volume is.?
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