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If I put block B on block A where block A is 573K and block B is 303K. Is there any way that I can calculate the time required for block B to be heated to a certain temperature let's say 398K?

I understand that the conduction equation is

*Q/t = kA((T1-T2)/L*). But I really wanted to know how can this be used to solve the problem above.

I would really appreciate it if anyone could help to clear my doubt.