Entropy change as mass tends to infinity

[blueyellow]

'show that the entropy change of the object tends towards deltaQ/T (subcript i) as its mass tends to infinity, in the4 limit where it becomes a heat bath

i got:
change in entropy =mc ln (Tf/Ti) (mc ln (T subcript f/T subcript i))

but if the mass tends to inifinity the expression seems to blow up

thanks in advance

 

[Andrew Mason]

'show that the entropy change of the object tends towards deltaQ/T (subcript i) as its mass tends to infinity, in the4 limit where it becomes a heat bath

i got:
change in entropy =mc ln (Tf/Ti) (mc ln (T subcript f/T subcript i))

but if the mass tends to inifinity the expression seems to blow up

thanks in advance

As the mass increases what happens to Tf/Ti?

Let Tf = Ti + dT where Ti is very close to Tf.

Express the change in entropy in terms of Ti and dT.

AM