Find the value of the following exponents;-

The exponent of a binomial exceeds that of another by 3. the sum of the binomial coefficients in expansions of both binomial taken together is 144. find the smaller of the two exponents.

Two diatomic gases are mixed in mole ratio 1:2. Find the value of adiabatic exponent for this mixture of gases.

The relation between U, p and V for an ideal gas in an adiabatic process is given by relation U=a+bpV . Find the value of adiabatic exponent (gamma) of this gas.

State the power law of exponents

Simplify the following using law of exponents. (3^2)×(3^2)^4 .

When 1 mole of a monatomic gas is mixed with 3 moles of a diatomic gas, the value of adiabatic exponent g for the mixture is :-

When 1 mole of a monatomic gas is mixed with 3 moles of a diatomic gas, the value of adiabatic exponent gamma for the mixture is

The heat capacity of an ideal gas in a polytropic process is C=Cv+0.1R.The value of polytropic exponent is :

Find the molar heat capacity of an ideak gas in a polytropic process p V^n = const if the adiabatic exponent of the gas is equal to gamma . At what values of the polytropic constant n will the heat capacity of the gas be negative ?