Assume that one early morning when the temperatures in `10^(@)C,` a driver of an automobile gets his gasoline tank which is made of steel, tilled with `75` L of gasoline, which is also at `10^(@)C.` During the day, the tempaerature rises to `30^(@)C,` how much gasoline will overflow ? (Given, `alpha ` for steel `=1.2xx 10^(-5)"^(@)C^(^1), gamma ` for gasoline `=9.5xx10^(-4)"^(@)C^(-1))`

Assume that one early morning when the temperatures in `10^(@)C,` a dr

1.	Assume that one early morning when the temperatures in `10^(@)C,` a driver of an automobile gets his gasoline tank which is made of steel, tilled with `75` L of gasoline, which is also at `10^(@)C.` During the day, the tempaerature rises to `30^(@)C,` how much gasoline will overflow ? (Given, `alpha ` for steel `=1.2xx 10^(-5)"^(@)C^(^1), gamma ` for gasoline `=9.5xx10^(-4)"^(@)C^(-1))`
Answer» Change in volume of gasoline, ` DeltaV_(g)= gamma_(g)VDeltaT` `=9.5xx10^(-4)xxVxx20=190xx10^(-4)V` Change in volume of steel tanks, `DeltaV_(s)=gamma_(s)VDeltaT` `=3alpha_(s)VDeltaT=3xx1.2xx10^(-5)xxVxx20=7.2xx10^(-4))V` `therefore` Volume of gasoline that overflows `=DeltaV_(g)-DeltaV_(s)=(190xx10^(-4)-7.2xx10^(-4))V` `=182.8xx10^(-4)xx75=1.37L.`

Discussion

No Comment Found

Related InterviewSolutions

Two metal rods of lengths `L_(1)` and `L_(2)` and coefficients of linear expansion `alpha_(1)` and `alpha_(2)` respectively are welded together to make a composite rod of length `(L_(1)+L_(2))` at `0^(@)C.` Find the effective coefficient of linear expansion of the composite rod.A. `(L_(1)alpha_(1)^(2)-L_(2)alpha_(2)^(2))/(L_(1)^(2)+L_(2)^(2))`B. `(L_(1)^(2)alpha_(1)-L_(2)^(2)alpha_(2))/(L_(1)^(2)+L_(2)^(2))`C. `(L_(1)alpha_(1)+L_(2)alpha_(2))/(L_(1)-L_(2))`D. `(L_(1)alpha_(1)+L_(2)alpha_(2))/(L_(1)+L_(2))`
If at same temperature and pressure, the densities for two diatomic gases are respectively `d_(1) and d_(2)` , then the ratio of velocities of sound in these gases will beA. `d_(1)d_(2)`B. `sqrt(d_(2)//d_(1))`C. `sqrt(d_(1)//d_(2))`D. `sqrt(d_(1) d_(2))`
Find the coefficient of colume oexpansion of for an idela gas at consant pressure.
A vessel contains 1 mole of `O_(2)` gas (molar mass 32) at a temperature T. The preesure of the gas is p. An identical vessel containing one mole of He gas (molar mass 4) at temperatuer 2T has a pressure ofA. p/8B. pC. 2pD. 8p
What is the degree of freedom in case of a monoatomic gas?A. 1B. 3C. 5D. None of these
Two vessels A and B having equal volume contain equal masses of hydrogen in A and helium in B at 300 K. Then, mark the correct statement?A. The pressure exerted by hydrogen is half that exerted by heliumB. The pressure exerted by hydrogen is equal to that exacted by heliumC. Average KE of the molecule of hydrogen is half the average KE of the molecules of heliumD. The pressure exeted by hydrogen is twice theat exerted by helium
The `p -V` diagram of two different masses `m_(1)` and `m_(2)` are drawn (as shown) at constant temperature `(T)`. State whether `m_(1) gt m_(2) "or" m_(2) gt m_(2)`.
Oxygen is filled in a closed metal jar of volume `1.0xx10^(-3)m^(3)` at a pressure of `1.5xx10^(5)Pa.` and temperature `400K`. The jar has a small leak in it. The atmospheric pressure is `1.0xx10^(5)Pa` and the atmospheric temperature is `300K`. Find the mass of the gas that leaks out by time the pressure and the temperature inside the jar equalise with the surrounding.
One mole of an ideal monoatomic gas is taken at a temperature of `300 K`. Its volume is doubled keeping its pressure constant. Find the change in internal energy.
The rms speed of oxygen molecules in a gas is `v`. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will becomeA. vB. `sqrt2v`C. 2vD. 4v

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment