$20 \ cal$ of heat is required to increase the temperature of a $15 \ g$ piece of $Al$ metal from $25^{\circ}C$ to $30^{\circ}C$. Calculate the heat capacity,specific heat capacity,and molar heat capacity of the $Al$ piece. (Given: Atomic mass of $Al = 27 \ g \ mol^{-1}$)

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Given: $q = 20 \ cal$,$\Delta T = 30^{\circ}C - 25^{\circ}C = 5^{\circ}C$,$m = 15 \ g$,$M = 27 \ g \ mol^{-1}$.
$1$. Heat capacity $(C)$: $C = \frac{q}{\Delta T} = \frac{20 \ cal}{5^{\circ}C} = 4.0 \ cal \ {}^{\circ}C^{-1}$.
$2$. Specific heat capacity $(c)$: $c = \frac{C}{m} = \frac{4.0 \ cal \ {}^{\circ}C^{-1}}{15 \ g} \approx 0.267 \ cal \ g^{-1} \ {}^{\circ}C^{-1}$.
$3$. Molar heat capacity $(C_m)$: $C_m = c \times M = 0.267 \ cal \ g^{-1} \ {}^{\circ}C^{-1} \times 27 \ g \ mol^{-1} \approx 7.21 \ cal \ mol^{-1} \ {}^{\circ}C^{-1}$.

Explore More

Similar Questions

Which graph represents the relationship between heat capacity at constant pressure $(C_p)$ and temperature $(T)$ for a monatomic ideal gas?

Heat capacity $(C_{p})$ is an extensive property but specific heat $(c)$ is an intensive property. What will be the relation between $C_{p}$ and $c$ for $1 \ mol$ of water?

For the reaction ${H_2}_{(g)} + \frac{1}{2}{O_2}_{(g)} \to {H_2}O(\ell)$,given $\Delta C_P = 7.63 \, cal/deg$ and $\Delta H_{25\,^{\circ}C} = 68.3 \, Kcal$,find the value of $\Delta H$ at $100\,^{\circ}C$ (in $Kcal$).

The energy required to increase the temperature of $180 \ g$ of liquid water from $10^{\circ} C$ to $15^{\circ} C$ is $3765 \ J$. What is $C_{p}$ of water in $J \ mol^{-1} \ K^{-1}$ ? $(H_2O = 18 \ u)$

The heat required to raise the temperature of $1 \ mol$ of a substance by $1^{\circ}C$ is called:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo