Air is pumped into a balloon,of initial volum | vedclass

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

Question

(D) The volume of a sphere is given by $V = \frac{4}{3} \pi R^3$,which implies $V \propto R^3$.When the diameter doubles,the radius $R$ also doubles $

Vedclass · Accepted Answer

$7pV$

Vedclass · Answer

(D) The volume of a sphere is given by $V = \frac{4}{3} \pi R^3$,which implies $V \propto R^3$.When the diameter doubles,the radius $R$ also doubles $(R ightarrow 2R)$.Therefore,the new volume $V'$ becomes $V' = \frac{4}{3} \pi (2R)^3 = 8 	imes (\frac{4}{3} \pi R^3) = 8V$.The work done against the constant atmospheric pressure $p$ during an isobaric expansion is given by $W = p \Delta V$.Substituting the values,$W = p(V' - V) = p(8V - V) = 7pV$.

Air is pumped into a balloon,of initial volume $V$,until its diameter has doubled. If the atmospheric pressure is $p$,what is the work done against the atmosphere?

Similar Questions

The thermodynamic process in which no work is done by the gas or on the gas is

Volume versus temperature graph of two moles of helium gas is as shown in figure. The ratio of heat absorbed and the work done by the gas in process $1-2$ is

In which thermodynamic process,volume remains same?

The $P-V$ diagram for an ideal gas in a piston-cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is

When the temperature of $1 \, \text{mole}$ of an ideal gas is increased from $0^{\circ}C$ to $100^{\circ}C$ at constant pressure, what is the work done during the process? $(R = 8.3 \, J/mol \cdot K)$

Vedclass Test Series

Exam Paper Generator

Online Exam Module