A monoatomic gas of mass $$4.0$$ u is kept in an insulated container. Container is moving with velocity $$30$$ $$m/s$$. If container is suddenly stopped then change in temperature of the gas $$($$ $$R=gas$$ $$constant)$$ is $$x3R$$. Value of x $$is_________$$

Question

A monoatomic gas of mass $$4.0$$ u is kept in an insulated container. Container is moving with velocity $$30$$ $$m/s$$. If container is suddenly stopped then change in temperature of the gas $$($$ $$R=gas$$ $$constant)$$ is  $$x3R$$. Value of  x $$is_________$$

Infinity Learn · Accepted Answer

The loss in Kinetic energy is converted into increase in internal energy of gas.Molar Mass of gas is given $$M=$$ $$4g/mol---(1)Let$$ say mass of gas in container is mand moles of gas is n.nCv△$$T=12mv02$$ ⇒(n)3R2$$△$$T=12nM302$$∵$$n=mM$$  and for mono atomic gas,$$Cv=3R2$$, ⇒Δ$$T=4(900)3R=36003R$$             From equation $$(1)         Compare with $$x3Rwhich$$ is given in question we get  $$x=3600$$

Heat ;work and internal energy

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A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity 30 m/s. If container is suddenly stopped then change in temperature of the gas ( R=gas constant) is $\frac{x}{3 R}$ . Value of x is_________

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Heat ;work and internal energy

Remember concepts with our Masterclasses.

A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity 30 m/s. If container is suddenly stopped then change in temperature of the gas ( R=gas constant) is x3R. Value of x is_________

Ready to Test Your Skills?

free study material

A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity 30 m/s. If container is suddenly stopped then change in temperature of the gas ( R=gas constant) is $\frac{x}{3 R}$ . Value of x is_________