Thermal Propert...

Water of volume $$2L$$ in a closed container is heated with a coil of $$1kW$$. While water is heated, the container loses energy at a rate of $$60J/s$$. In how much time will the temperature of water rise from $${27}^{o}C$$ to $${77}^{o}C$$ (Specific heat of water is $$4.2kJ/kg$$ and that of the container is negligible)

Two monatomic ideal gases $$1$$ and $$2$$ of molecular masses $$m_1$$ and $$m_2$$ respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas $$1$$ to that in gas $$2$$ is given by.

An ideal gas is initially at $$P_1$$, $$V_1$$ is expanded to $$P_2, V_2$$ and then compressed adiabatically to the same volume $$V_1$$ and pressure $$P_3$$. If W is the net work done by the gas in the complete process which of the following is true.

$$300$$ grams of water at $$25^o$$C is added to $$100$$ grams of ice at $$0^o$$C. The final temperature of the mixture is ________ $$^oC$$.

A double pane window used for insulating a room thermally from outside, consists of two glass sheets each of area $$1m^2$$ and thickness $$0.01$$m separated by a $$0.05$$m thick segment air space. In the steady state the room glass interface and the glass outdoor interface are at constant temperature of $$27^o$$C and $$0^o$$C respectively. Calculate the rate of heat flow through the window pane. Also find the temperature of other interfaces. Given thermal conductivities of glass and air are as $$0.8$$ and $$0.08$$ $$Wm^{-1}K^{-1}$$ respectively.

A cylinder of mass $$1$$kg is given heat of $$20000$$J at atmospheric pressure. If initially temperature of cylinder is $$20^o$$C, find final temperature of the cylinder.

We have half a bucket (6l) of water at 20C. If we want water at 40C, how much steam at 100C should be added to it?

Out of three thermometers one is kept in contact with the mans skin, second in contact with cotton vest and polyester shift and third in between shirt and woolen coat. The reading of the thermometers are $$35^{o}C$$, $$32^{o}C$$, $$25^{o}C$$. The ratio of $$K$$ for cotton and polyester will be

Temperature of hot end and cold end of a rod, which is in steady state, are $$100^{\circ}C$$ and $$40^{\circ}C$$ respectively. The area of cross section of rod and its thermal conductivity are uniform. The temperature of rod at its mid point is :

Rate of heat flow through cylindrical rod is $${Q}_{1}$$. Temperatures of ends of rod are $${T}_{1}$$ and $${T}_{2}$$. If all the linear dimensions of the rod become double and temperature difference remains same, its rate of heat flow is $${Q}_{2}$$, then