the temperature of a gas of certain mass is 27°C.The gas is heated such that it's pressure and volume are double.Calculate final temperature of gas
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Answer:
Using gas equation, we have
(P1*V1) /T1=(P2*V2) /T2 where P=Pressure, V=Volume and T=Absolute temperature of the gas.
Given, P1=P2=P(say) (Since pressure is constant)
V1=V(say), where V is the initial volume of the gas.
Therefore, V2=2V since final volume is double the initial volume.
T1=(27+273)K=300K
T2=?
Substituting the values obtained,in the gas equation, we have
P*V/300=P*2V/T2
Solving, we get T2=final temperature of the gas=600K or (600–273)degree C or 327 degrees C.
An ideal gas at 27 degree celsius is heated at constant pressure till its volume becomes three times what would be then temperature of gas?
What will the final temperature be if a fixed volume of gas at 27℃ exerts a pressure of 750 mm if the gas is heated to a pressure of 1500 mm?
250 litres of an ideal gas is heated at a constant pressure from 27 degrees C, such that its volume becomes 500 litres. What would be its final temperature?
If a volume of a fixed mass of a gas at 27 degrees Celsius is double at constant pressure, what will the constant temperature be?
A gas at 27 degree Celsius temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, then the final temperature becomes?
Ideal gas equation is pv= mRT ,
In present case , pressure is constant. Thus ideal gas equation can be rewritten as
v/T = mR/p = constant ( since 'mass' and 'characteristic gas constant' are going to be remain same)
Thus,
T2/T1 = v2/v1 ( but in question it was given, v2 = 2×v1)
That is,
T2/(27+273) = 2× v1/v1 ( 273 is added with 27°C to convert in Kelvin)
T2=2×300
T2= 600 k i.e. 327°C( that is your final temperature)
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Applying ideal gas eqn.,
PV=nRT
Given:-
P=Constant
V1=Initial volume
V2=final volume
T1=Initial temp=27°C=(273+27)K=300K
T2=final temprature
According to que,
V2 =2V1
Therefore,
V1/V2 = T1/T2
V1/2V1=300/T2
So,T2=600K
At constant pressure V¹/T¹= V²/T²
V¹ and T¹ are initial volume and temperature.
V² and T² are final volume and temperature.
here V²/V¹= 2
T¹= 27°C = 300 K
So T²= V²/V¹ x 300
T²= 2 x 300= 600 K
= (600–273)-°C
= 327°C
At what temperature will the volume of gas at 0°C double itself if the pressure is kept constant?
A certain mass of a gas at 20 C is heated until both its pressure and volume are doubled. What is its final temperature?
At what temperature in degree centigrade will the volume of gas at 0°C double itself with pressure remaining constant?
At constant temperature if pressure is increased by 1% what is the percentage decrease of the volume?
By what percentage should the pressure of a given mass of gas be increase so as to decrease it volume by 10% at a constant temperature?
T=273+27=300K,
PV=RT
PV=R*300
P*2V =RT’ dividing
2=T’/300,
or T=600K
or T=600-273
T=327C
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For an isobaric process, Volume is proportional to the absolute temperature.
Or V1/T1 = V2/T2
v/300 = 2v/T2
v*T2 = 300*2v
Therefore, T2 = 600*v/v
= 600 K or 327 degrees Celsius Ans.
Using,V1/V2=T1/T2
Hence,T2=54 degree C
An ideal gas at 27 degree celsius is heated at constant pressure till its volume becomes three times what would be then temperature of gas?
What will the final temperature be if a fixed volume of gas at 27℃ exerts a pressure of 750 mm if the gas is heated to a pressure of 1500 mm?
250 litres of an ideal gas is heated at a constant pressure from 27 degrees C, such that its volume becomes 500 litres. What would be its final temperature?
If a volume of a fixed mass of a gas at 27 degrees Celsius is double at constant pressure, what will the constant temperature be?
A gas at 27 degree Celsius temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, then the final temperature becomes?
At what temperature will the volume of gas at 0°C double itself if the pressure is kept constant?
A certain mass of a gas at 20 C is heated until both its pressure and volume are doubled. What is its final temperature?
At what temperature in degree centigrade will the volume of gas at 0°C double itself with pressure remaining constant?
At constant temperature if pressure is increased by 1% what is the percentage decrease of the volume?
By what percentage should the pressure of a given mass of gas be increase so as to decrease it volume by 10% at a constant temperature?
What is the final volume of 20L of gas at 300K that is heated to 600K at constant pressure?
At what temperature a gas must be heated at constant pressure so that its volume at 20°C is doubled?
1 m3 of an ideal gas at 500K and 1000kPa expands reversibly to 5 times its initial volume in an insulated container. If the specific heat capacity (at constant pressure) of the gas is 21 J/mole K, what will be its final temperature?