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The density of a gas of relative molecular mass 28 at a certain temperature is 0.90 kgm-3.

The root mean square speed of the gas molecules at that temperature is 602 ms-1. Assuming that the rate of diffusion of a gas is inversely proportional to the square root of its density, calculate the density of the gas standard temperature and pressure if its root mean square speed at is 490 ms-1.


Under what condition (if any) does a moving body experience no energy even though there
is a net force acting on it?
Give the thermometric properties of the following:
a. Mercury -in-glass thermometer
b. Resistance thermometer
c. Constant volume gas thermometer
d. Pyrometer
why an ice cube at 0 ˚C is more effective in cooling a drink than
the same mass of water also at 0 ˚C
A 90 ˚C liquid of mass 1 kg and specific heat capacity 4.5 x 103
J/kg K is poured into a
brass calorimeter of mass 150 g containing an unknown liquid of mass 20 g at a temperature
of 25 ˚C. If the final temperature of the mixture is 70 ˚C, determine the specific heat
capacity of the unknown liquid. The s.h.c of brass is 380 J/kg K.
The density of a gas of relative molecular mass 28 at a certain temperature is 0.90 kgm-3
.
The root mean square speed of the gas molecules at that temperature is 602 ms-1
. Assuming that the rate of a gas is inversely proportional to the square root of it's density calculate the density of the gas standard temperature and pressure of it's root mean square speed is 490m/s.
A can of drinking chocolate contains a chemical heating pack that releases 3.5 x 104
J of
energy into drink when activated. Calculate the final temperature of the drink assuming no
energy is lost to the can or surroundings. [Mass of drink = 0.21 kg, specific heat capacity
of drink = 4200 J kg-1 K
-1
, initial temperature of drink = 20 °C]
One end of a uniform well-lagged metal bar of length 0.80 m and cross-sectional area of
4.0 x 10-3m2
is kept in steam at 100 ˚C while the other end is in melting ice in a well-lagged
container. The ice melts at a steady rate of 5.5 x 10- 4
kgs-1
and the thermal conductivity of
the material of the bar is 401 Wm-1K
-1
. Calculate the specific latent heat of fusion of ice
A faulty mercury-in-glass thermometer indicates that the ice point of pure water is 0.8 ˚C
and the steam point 99.5 ˚C under standard atmospheric pressure. Deduce an expression in
the form of y = mx + c, where m and c are constants, to relate the faulty temperature reading
F ˚C to the correct temperature T ˚C. (3 marks)
4. Using the equation deduced in Question 3 above, calculate the correct temperatures when
the faulty thermometer reads -15 ˚C and 50 ˚C.
A mass of ideal gas of volume 400 cm3 at a temperature of 27 ˚C expands adiabatically
until its volume is 500 cm3. Calculate the new temperature. The gas is then compressed
isothermally until its pressure returns to the original value. Calculate the final volume of
the gas. Assume γ = 1.40.
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