I know my teacher told me that
In adiabatic process there is no exchange for heat between system and surrounding.
Then he came to point. From first law of thermodynamics
$$∆U = q + W \tag{1}$$
Since in adiabatic process there is no heat exchange then,
$$∆U = W \tag{2}$$
And then he said as we know
$$∆U = nC_v∆T \tag{3}$$
So,
$$W = nC_v∆T \tag{4}$$
I don't get it. Above equation tells us that the work done when a system is given heat at constant volume equals to $nC_v∆T.$
But how can this be applied in adiabatic process, since there is no exchange of heat?