If some heat is given to a metal of mass 100 | vedclass

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(B) The heat given to a substance is given by the formula $Q = mc\Delta T$,where $m$ is the mass,$c$ is the specific heat capacity,and $\Delta T$ is t

Vedclass · Accepted Answer

$10$

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(B) The heat given to a substance is given by the formula $Q = mc\Delta T$,where $m$ is the mass,$c$ is the specific heat capacity,and $\Delta T$ is the change in temperature.For the metal: $Q = m_m c_m \Delta T_m = 100 	imes c_m 	imes 20 = 2000 c_m$.For the water: $Q = m_w c_w \Delta T_w = 20 	imes c_w 	imes \Delta T_w$.Since the heat given is the same,we equate the two expressions: $2000 c_m = 20 c_w \Delta T_w$.Given the ratio of specific heat capacities $\frac{c_m}{c_w} = \frac{1}{10}$,we have $c_w = 10 c_m$.Substituting this into the equation: $2000 c_m = 20 	imes (10 c_m) 	imes \Delta T_w$.$2000 c_m = 200 c_m 	imes \Delta T_w$.Dividing both sides by $200 c_m$: $\Delta T_w = \frac{2000}{200} = 10^{\circ} C$.

If some heat is given to a metal of mass $100 \ g$,its temperature rises by $20^{\circ} C$. If the same heat is given to $20 \ g$ of water,the change in its temperature (in $^{\circ} C$) is (The ratio of specific heat capacities of metal and water is $1: 10$).

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