Relation between cp and cv is given by (where cp = Specific heat at constant pressure, cv = Specific heat at constant volume, γ = cp/cv, known as adiabatic index, and R = Gas constant)

Relation between c_p and c_v is given by (where c_p = Specific heat at constant pressure, c_v = Specific heat at constant volume, $$\gamma = \frac{{{{\text{c}}_{\text{p}}}}}{{{{\text{c}}_{\text{v}}}}},$$ known as adiabatic index and R = Gas constant)

A

$$\frac{{{{\text{c}}_{\text{v}}}}}{{{{\text{c}}_{\text{p}}}}} = {\text{R}}$$

B

$${{\text{c}}_{\text{p}}} - {{\text{c}}_{\text{v}}} = {\text{R}}$$

C

$${{\text{c}}_{\text{v}}} = \frac{{\text{R}}}{{\gamma - 1}}$$

D

Both (B) and (C)

একটি আদর্শ গ্যাসের ক্ষেত্রে cpcv= x হলে, নিচের কোন সম্পর্কটি ঐ গ্যাসের এক মোলের জন্য সঠিক? (If cpcv= x for an ideal gas, which of the following felations is correct for one mole of that gas?)

A

cv=(x-1)R

B

cv=R/(x-1)

C

cv=R/(1-x)

D

cv=R/(1+x)

একটি আদর্শ গ্যাসের ক্ষেত্রে cpcv= x হলে, নিচের কোন সম্পর্কটি ঐ গ্যাসের এক মোলের জন্য সঠিক? (If cpcv= x for an ideal gas, which of the following felations is correct for one mole of that gas?)

A

cv=(x-1)R

B

cv=R/(x-1)

C

cv=R/(1-x)

D

cv=R/(1+x)

The heat supplied to the gas at constant volume is (where m = Mass of gas, C_v = Specific heat at constant volume, C_p = Specific heat at constant pressure, T₂ - T₁ = Rise in temperature and R = Gas constant)

A

mR (T₂ - T₁)

B

mC_v (T₂ - T₁)

C

mC_p (T₂ - T₁)

D

None of the above

Group I shows different heat addition processes in power cycles. Likewise, Group II shows different heat removal processes. Group III lists power cycles. Match items from Groups I, II and III. Group I Group II Group III P. Pressure constant S. Pressure constant 1. Rankine cycle Q. Volume constant T. Volume constant 2. Otto cycle R. Temperature constant U. Temperature constant 3. Carnot cycle 4. Diesel cycle 5. Brayton cycle

A

P – S – 5, R – U – 3, P – S – 1, Q – T - 2

B

P – S – 1, R – U – 3, P – S – 4, P – T - 2

C

R – T – 3, P – S – 1, P – T – 4, Q – S - 5

D

P – T – 4, R – S – 3, P – S – 1, P – S - 5

Work-done during adiabatic expansion is given by (where p₁, v₁, T₁ = Pressure, volume and temperature for the initial condition of gas, p₂, v₂, T₂ = Corresponding values for the final condition of gas, R = Gas constant and $$\gamma $$ = Ratio of specific heats)

A

$$\frac{{{{\text{p}}_1}{{\text{v}}_1} - {{\text{p}}_2}{{\text{v}}_2}}}{{\gamma - 1}}$$

B

$$\frac{{{\text{mR}}\left( {{{\text{T}}_1} - {{\text{T}}_2}} \right)}}{{\gamma - 1}}$$

C

$$\frac{{{\text{mR}}{{\text{T}}_1}}}{{\gamma - 1}}\left( {1 - \frac{{{{\text{p}}_2}{{\text{v}}_2}}}{{{{\text{p}}_1}{{\text{v}}_1}}}} \right)$$

D

All of these

The molar specific heat constant pressure of an ideal gas is 7R/2. The ratio of specific heat at constant pressure to that at constant volume is?

A

9/7

B

8/7

C

7/5

D

5/7

Characteristic gas constant is given by (here cp=specific heat at constant pressure and cv is the specific heat at constant volume)

A

R=cv – cp

B

R=cp + cv

C

R=cp – cv

D

none of the mentioned

According to Regnault's law, the specific heat at constant pressure (cp) and specific heat at constant volume (cv) _________ with the change in pressure and temperature of the gas.

A

Change

B

Do not change

C

Both (A) and (B)

D

None of these

The highest pressure gas of a mixture has partial pressure p, the partial pressure of other gases decreases by factor of 2n-1, the partial pressure of second gases decreases by a factor of 2, partial pressure of third gas increases by 4, and so on, if the total pressure of gas mixture is 31p/16, how many gases are present in the mixture?

A

3

B

5

C

10

Relation between cp and cv is given by (where cp = Specific heat at constant pressure, cv = Specific heat at constant volume, γ = cp/cv, known as adiabatic index, and R = Gas constant)

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