Download App

Thermodynamics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsThermodynamics3 Marks
Question
A car tyre contains air at a pressure of $4$ atm and its temperature is $27°C$. The tyre suddenly bursts. Calculate the resulting temperature. $(\gamma=1.4)$
✓

Answer

P_1 = 4atm, P_2 = 1atm, $T_1 -27^\circ C = 300K$ and $\gamma=1.4$ The sudden burst of tyre is an adiabatic process, in which , $\text{P}^{1-\gamma}_1\text{T}^\gamma_2=\text{P}^{1-\gamma}_2\text{T}^{\gamma}_2$
$\therefore\text{T}_2=\text{T}_1\Big(\frac{\text{P}_1}{\text{P}_2}\Big)^{\frac{1-\gamma}{\gamma}}=\text{T}_1\Big(\frac{\text{P}_2}{\text{P}_1}\Big)^{\frac{\gamma-1}{\gamma}}$
$=300\Big(\frac{4}{1}\Big)^{\frac{1.4-1}{1.4}}=201.9$
$=202\text{K}$ or $-71^\circ\text{C}.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Thermodynamics→Thermodynamics — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A tank 5m high is half-filled with water and then filled to the top with oil of density 0.85g/cc. What is the pressure at the bottom of the tank due to these liquids?
→
Earth can be thought of as a sphere of radius $6400km$. Any object (or a person) is performing circular motion around the axis of earth due to earth’s rotation (period 1 day). What is acceleration of object on the surface of the earth (at equator) towards its centre? what is it at latitude $\theta?$ How does these accelerations compare with $g = 9.8m/ s^2$?
→
In a photoelectric experiment, the collector plate is at 2.0V with respect to the emitter plate made of copper ($\phi$ - 4.5eV). The emitter is illuminated by a source of monochromatic light of wavelength 200 run. Find the minimum and maximum kinetic energy of the photoelectrons reaching the collector.
→
A liquid drop of diameter $4mm$ breaks into $1000$ droplets of equal size. Calculate the resultant change in surface energy. The surface tension of the liquid is $0.07Nm^{-1}$
→
The maximum tension in the string of an oscillating pendulum is double of the minimum tension. Find the angular amplitude.
→
The specification on a heater coil is $250V, 500W.$ Calculate the resistance of the coil. What will be the resistance of a coil of $1000W$ to operate at the same voltage?
→
Water flows through a horizontal pipe of which the cross-section is not constant. The pressure is 1cm of mercury where the velocity is 0.35m/s. Find the pressure at a point where the velocity is 0.65m/s.
→
  1. What is echo?
  2. If a reflector is situated at a distance of $860m$ from a sound source, what is the time of echo? Speed of sound in air at a room temperature can be taken as $344m/ s.$
→
The temperature and the relative humidity are $300K$ and $20\%$ in a room of volume $50m^3$. The floor is washed with water, $500g$ of water sticking on the floor. Assuming no communication with the surrounding, find the relative humidity when the floor dries. The changes in temperature and pressure may be neglected. Saturation vapour pressure at $300K = 3.3kPa$.
→
The magnetic intensity Hat the centre of a long solenoid carrying a current of 2.0A, is found to be 1500A/m. Find the number of turns per centimetre of the solenoid.
→