(D) For an adiabatic process,the relationship between pressure $P$ and density $\rho$ is given by $P \propto \rho^{\gamma}$.Therefore,we can write the

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

(D) For an adiabatic process,the relationship between pressure $P$ and density $\rho$ is given by $P \propto \rho^{\gamma}$.Therefore,we can write the ratio as $\frac{P^{\prime}}{P} = \left( \frac{d^{\prime}}{d} \right)^{\gamma}$.Given $\frac{d^{\prime}}{d} = 32$ and $\gamma = \frac{7}{5}$.Substituting these values,we get $\frac{P^{\prime}}{P} = (32)^{7/5}$.Since $32 = 2^5$,we have $\frac{P^{\prime}}{P} = (2^5)^{7/5} = 2^7$.Calculating $2^7$,we get $2^7 = 128$.Thus,the ratio $\frac{P^{\prime}}{P} = 128$.

Class 11 Chemistry Data Entry - Chemistry Level 0 of all question bank

The pressure and density of a given mass of a diatomic gas $\left(\gamma = \frac{7}{5}\right)$ change adiabatically from $(P, d)$ to $(P^{\prime}, d^{\prime})$. If $\frac{d^{\prime}}{d} = 32$,then $\frac{P^{\prime}}{P}$ is $(\gamma = \text{ratio of specific heats})$

AP EAMCET 2004 All AP EAMCET

TS EAMCET 2004 All TS EAMCET

A
$\frac{1}{128}$
B
$\frac{1}{64}$
C
$64$
D
$128$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Chemistry Questions

Chapter

Data Entry - Chemistry

Subtopic

Level 0 of all question bank

Previous Year

AP EAMCET 2004 Paper All AP EAMCET years →

Previous Year

TS EAMCET 2004 Paper All TS EAMCET years →

The mass defect in a particular nuclear reaction is $0.3\, g$. The amount of energy liberated in kilowatt-hours $(kWh)$ is (Velocity of light = $3 \times 10^8\, m/s$)

TS EAMCET 2003

View Solution

Two liquids $A$ and $B$ have vapour pressures in the ratio $P_A^0 : P_B^0 = 1 : 3$ at a certain temperature. If the ratio of mole fractions of $A$ to $B$ in the vapour phase is $4 : 3$,then the mole fraction of $B$ in the solution at the same temperature is

View Solution

$A$ police party is moving in a jeep at a constant speed $v$. They see a thief at a distance $x$ on a motorcycle which is at rest. The moment the police see the thief,the thief starts moving with a constant acceleration $a$. Which of the following relations is true if the police are able to catch the thief?

TS EAMCET 2011

View Solution

If the volume of a sphere increases at the rate of $2 \pi \text{ cm}^3/\text{s}$, then the rate of increase of its radius (in $\text{cm/s}$), when the volume is $288 \pi \text{ cm}^3$, is

TS EAMCET 2012

View Solution

The $IUPAC$ name for the complex $[Co(NO_2)(NH_3)_5]Cl_2$ is:

View Solution

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

The pressure and density of a given mass of a diatomic gas $\left(\gamma = \frac{7}{5}\right)$ change adiabatically from $(P, d)$ to $(P^{\prime}, d^{\prime})$. If $\frac{d^{\prime}}{d} = 32$,then $\frac{P^{\prime}}{P}$ is $(\gamma = \text{ratio of specific heats})$

Similar Questions

The mass defect in a particular nuclear reaction is $0.3\, g$. The amount of energy liberated in kilowatt-hours $(kWh)$ is (Velocity of light = $3 \times 10^8\, m/s$)

Two liquids $A$ and $B$ have vapour pressures in the ratio $P_A^0 : P_B^0 = 1 : 3$ at a certain temperature. If the ratio of mole fractions of $A$ to $B$ in the vapour phase is $4 : 3$,then the mole fraction of $B$ in the solution at the same temperature is

If the volume of a sphere increases at the rate of $2 \pi \text{ cm}^3/\text{s}$, then the rate of increase of its radius (in $\text{cm/s}$), when the volume is $288 \pi \text{ cm}^3$, is

The $IUPAC$ name for the complex $[Co(NO_2)(NH_3)_5]Cl_2$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module