Question

Figure shows P - T diagram for 2 moles of an ideal gas. The volume of the gas is nearly?
(the graph is a straight line with slope 45°)​

Answer 1

Answer:

volume = 16.6 m^3

Explanation:

According to the idea gas equation ,

PV=nRT

From graph , P/T = tan45° = 1

so , P/T = nR/V

P/T = 1 , so , nR/V = 1

V = nR = 2 × 8.3 = 16.6 m^3

Answer 2

Volume of the gas is 16.628 meter cube.

No of moles of ideal gas , n = 2 moles.

It is given that the slope of the P-T graph is 45 degree.

Now, by ideal gas equation :

$PV=nRT\\\\P=(\dfrac{nR}{V})T$

Also, we know standard equation of a line is :

y = mx +c   { Here m is slope and c is constant }.

Comparing it with ideal gas equation :

We get , $m=\dfrac{nR}{V}$  and $c=0.$

Also slope , $m=tan \ 45^o=1.$

Therefore, $\dfrac{nR}{V}=1$

Putting value of n = 2 and R = 8.314

We get , $V = 16.628 \ m^3$.

Hence, it is the required solution.

Learn more,

Thermodynamics

https://brainly.in/question/9836043