00:01
Hello students.
00:03
Now in this question they have given that the 80 litre tank which consists of nitrogen has the initial pressure and temperature as initial pressure as 250 kilo -pascal and temperature t is equal to 200 degrees celsius.
00:24
And we have to note that here ideal gas constant for nitrogen they have given and we have to determine here mass of the gas in kg and also.
00:32
They are asking us to calculate that if that gas has 0 .05 kg of gas leaks out from the tank and in this process they are also given this temperature of the gas remaining in the tank is kilo -pascal so we have to find that if that tank leaks about 0 .05 kg of gas we have to calculate here what is the determine the mass of the gas in kg now to find the mass of the gas in the tank we can use the ideal ideal gas equation or ideal gas law can be written as ideal gas law that is pv is equal to n into r into here p is the pressure p is the volume and r is the ideal gas constant t is the temperature and that is m they have given as sorry here n they have given as m here is mass now first we need to to convert the volume of the tank from liters to the cubic meters that is volume they have given as v is equal to 80 liters we have to convert this to the cubic meters that is 0 .08 meter cube next we need to convert the pressure from kilo -pascal to pascal then p is equal to they have given to 50 kilo -pascals we have to convert it to the pascal that is 250 000 that is 250 now we also need to convert the temperature from celsius to kelvin.
02:20
That is t is equal to 200 degrees celsius they have given.
02:24
We have to add here 273 .15 kelvin which is equal to 473 .15 kelvin.
02:34
Now substituting these values and ideal gas constant for nitrogen, they have given r is equal to for nitrogen, r is equal to 0 .296.
02:44
8 kj that is kilojoules per k g kelvin so we have to substitute all these values in that is ideal gas law here now we will get m is equal to for rearranging that equation we will get m is equal to pv by r t we have to substitute here that is 250 000 pascal into 0 .08 meter cube divided by 0 .2968 into 473 .15 kelvin which is equal to 4 .37 kg.
03:38
Therefore, mass of the gas in the tank is 4 .37 kg.
03:45
Now next sub question they are asking that after 0 .05 kg of gas leaks out from the tank, what is the mass remaining they are asking? now for this we have to use that m dash is equal to m minus 0 .05 kg which is equal to 4 .3 to kg...