Prove that `C_p - C_v = R`.

C_p and C_v are specific heats at constant pressure and constant volume respectively. It is observed that C_p - C_v = a for hydrogen gas C_p = C_V = b for nitrogen gas The correct relation between a and b is:

C_P and C_V are specific heats at constant pressure and constant volume respectively. it is observed that C_P - C_V=p for helium gas and C_P - C_V=q for Oxygen gas. The correct relation between p and q is

In ΔABC a n d\ Δ P Q R ,\ A B=P Q ,\ B C=Q R\ a n d\ C B\ a n d\ R Q are extended to X\ a n d\ Y respectively and /_A B X=/_P Q Y . Prove that A B C~=\ P Q R .

For hydrogen gas C_(p) - C_(v) = a and for oxygen gas C_(p) - C_(v) = b . So, the relation between a and b is given by

Compare the formula C_p - C_v = R for an ideal gas with the thermodynamics relation Delta U = Delta Q - P Delta V .

In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-point of A C . Prove that D P=P C (ii) P R=1/2\ A C

In a real gas the internal energy depends on temperature and also on volume. The energy increases when the gas expands isothermally. Looking into the derivation of (C_p - C_v = R_1) find whether (C_p - C_v) will be more than R, less than R, or equal to R for a real gas.

In Figure, A B C D is a parallelogram. Prove that: a r( B C P)=a r( D P Q) CONSTRUCTION : Join A Cdot

In A B C and P Q R Figure, A B=P Q ,B C=Q R and C B and R Q are extended to X and Y respectively and /_A B X = /_P Q Ydot Prove that A B C~=P Q Rdot Figure

In Figure, P , is any point on the chord B C of a circle such that A B=A P . Prove that C P=C Q .