When 1 mol of ice melts at 0 ^oC and a cons | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given: $q = +1440 \ cal$ (heat absorbed by the system).Pressure $P = 1 \ atm$.Change in volume $\Delta V = V_{water} - V_{ice} = 0.0180 \ L - 0.01

Vedclass · Accepted Answer

$1440$

Vedclass · Answer

(A) Given: $q = +1440 \ cal$ (heat absorbed by the system).Pressure $P = 1 \ atm$.Change in volume $\Delta V = V_{water} - V_{ice} = 0.0180 \ L - 0.0196 \ L = -0.0016 \ L$.Work done $w = -P \Delta V = -1 \ atm 	imes (-0.0016 \ L) = +0.0016 \ L \cdot atm$.Convert $w$ to calories: $1 \ L \cdot atm = 24.22 \ cal$.$w = 0.0016 	imes 24.22 \ cal \approx 0.0387 \ cal$.Using the first law of thermodynamics: $\Delta U = q + w$.$\Delta U = 1440 \ cal + 0.0387 \ cal \approx 1440 \ cal$ (since the work done is negligible compared to the heat absorbed).

When $1 \ mol$ of ice melts at $0 \ ^oC$ and a constant pressure of $1 \ atm$,the system absorbs $1440 \ cal$ of heat. If the molar volumes of ice and water are $0.0196 \ L$ and $0.0180 \ L$ respectively,calculate the change in internal energy $(\Delta U)$ of the system in $cal$.

Similar Questions

$A$ gas absorbs $120 \text{ J}$ of heat and expands by $300 \times 10^{-6} \text{ m}^3$ against a constant external pressure of $2 \times 10^5 \text{ Nm}^{-2}$. What will be the change in internal energy of the system (in $\text{ J}$)?

Assuming all reactions occur in an open vessel,for which reaction will $\Delta H = \Delta U$?

For the reaction,$CO_{(g)} + \frac{1}{2} O_{2_{(g)}} \longrightarrow CO_{2_{(g)}}$,which of the following equations is $CORRECT$ at constant $T$ and $P$?

For the reaction $3O_{2(g)} \rightarrow 2O_{3(g)}$,the value of $\Delta U - \Delta H$ is equal to .....

In an adiabatic process,no transfer of heat takes place between the system and surroundings. Choose the correct option for the free expansion of an ideal gas under adiabatic conditions from the following:

Vedclass Test Series

Exam Paper Generator

Online Exam Module