4.43 A piston/cylinder assembly contains 3 kg of air at 20°C...

4.43 A piston/cylinder assembly contains 3 kg of air at 20°C and 300 kPa. It is now heated in a constant pressure process to 600 K. a. Find the final volume. b. Plot the process path in a P-v diagram. c. Find the work in the process.

Transcript

00:01 Hi, in this question we have a piston assembly which contains 3kg of air at temperature t1 which is given as 20 degrees celsius which we can convert in kelvin as 293 .15 kelvin and the pressure p is given as 300 kilo pascal.

00:29 So now they are telling us that now this assembly is heated at the constant pressure p to temperature t2 which is given as 600 kelvin.

00:43 So now in part a we have to calculate the final volume.

00:49 So now for an ideal gas we know that pv is equals to mrt.

00:56 So now here in this question we'll have two states of the assembly.

01:04 So for state one, which is the initial state, we have the value of temperature is t1.

01:15 The value of pressure will be p and we have to calculate the value of v1.

01:21 So using this formula we can calculate v1 equals to m are t1 divided by p.

01:28 So we'll get the value of v1 which is the initial volume equals to m which is given as 3 into 0 .287 which is a constant.

01:40 T1 is given as 293 .15 kelvin and pressure is 300.

01:47 So on solving this we get the value for v1 which is the initial volume as 0 .81413 meter.

01:54 So now we have state 2 where we have temperature t2 pressure was constant so we'll have pressure same p.

02:11 So here we can calculate the volume equals to v2 will be equals to we can write mr t2 divided by p.

02:22 So on putting the values we'll get 3 into 0 .287 multiplied by 600.

02:29 Which is t2 temperature divided by 300.

02:33 So on solving this, we get the value for final volume v2 equals to 1 .722 meter cube...

Question

4.43 A piston/cylinder assembly contains 3 kg of air at 20°C and 300 kPa. It is now heated in a constant pressure process to 600 K. a. Find the final volume. b. Plot the process path in a P-v diagram. c. Find the work in the process.

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