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IV. Exercises · Q5

Q.Draw the TP diagram (P along the x-axis, T along the y-axis) and VT diagram (T along the x-axis, V along the y-axis) for a. Isochoric process b. Isothermal process c. Isobaric process

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Step 1. Isochoric process (constant VV): from P∝TP\propto T, plotting PP (x-axis) against TT (y-axis) gives a straight line through the origin. On a V-T diagram (T on x-axis, V on y-axis), since VV never changes, it is a horizontal line (constant VV) -- though the question's labelling calls this the "VT diagram" with T on x and V on y, so a constant VV traces a straight horizontal line at that fixed VV value.

Step 2. Isothermal process (constant TT): on the T-P diagram (P on x-axis, T on y-axis), since TT never changes, this traces a straight horizontal line at that fixed TT value. On the V-T diagram (T on x-axis, V on y-axis), since TT is fixed, this traces a straight VERTICAL line at that fixed TT value (V varies while T stays put).

Step 3. Isobaric process (constant PP): on the T-P diagram (P on x-axis, T on y-axis), since PP never changes, this traces a straight VERTICAL line at that fixed PP value. On the V-T diagram (T on x-axis, V on y-axis), since V∝TV\propto T at constant PP, this traces a straight line through the origin. …

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