An amount of pure substance equal to \(1 \mathrm{kmol}\) undergoes an irreversible cycle. Neglecting the effects of electricity, magnetism and gravity, state whether each of the following relationships is true or false, giving reasons for your assertion.

(i) \(\oint \delta Q=\oint\left(\mathrm{d} u_{m}+p \mathrm{~d} v_{m}\right)\);

(ii) \(\oint \frac{\mathrm{d} u_{m}+p \mathrm{~d} v_{m}}{T}>0\);

(iii) \(\oint \delta W<\oint p \mathrm{~d} v_{m}\);

where the suffix \(m\) indicates that the quantities are in molar terms.

[False; false; true]