Question

In an isothermal process, 1.59 moles of an ideal gas is compressed to one-fifth of its initial volume at 285 K. What quantity of heat is added to, or removed from, the system during this process

Answer 1

Answer:

−6063.54 J  of heat is removed from the system during this process.

Explanation:

Given that :

in an isothermal process

number of moles of an ideal gas =  1.59 moles

which is compressed to one- fifth of its initial volume

Let say the initial volume = x

the final volume will be = x/5

Temperature = 285 K

The objective is to determine what quantity of heat is added to, or removed from, the system during this process.

In an isothermal process;

q = w

where ;

w = nRT In (V₂/V₁)

w = 1.59 × 8.314 × 285 × In (x/5 /x)

w = 1.59 × 8.314 × 285 × In (1/5)

w = −6063.54 J

Thus;  −6063.54 J  of heat is removed from the system during this process.