An air-standard Otto cycle has a compression ratio of 6 and the temperature and pressure at the beginning of the compression process are 520 deg R and 14.2 lbf/in^2, respectively. The heat addition per unit mass of air is 600 Btu/lb. Determine (a) the maximum temperature, in deg R.

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onyebuchinnaji onyebuchinnaji · Answer 1 · 2020-02-06T19:05:53+01:00

Answer:

The maximum temperature of the cycle is 1065⁰R

Explanation:

The maximum temperature in degree Rankin can be obtained using the formula below;

[tex]\frac{T_2}{T_1} =[\frac{V_1}{V_2}]^{1.4-1}[/tex]

Where;

T₂ is the maximum temperature of the cycle

T₁ is the initial temperature of the cycle = 520 deg R = 520 ⁰R

V₁/V₂ is the compression ratio = 6

[tex]T_2 = T_1(\frac{V_1}{V_2})^{0.4}[/tex]

[tex]T_2=T_1(6)^{0.4}[/tex]

[tex]T_2=520^0R(6)^{0.4}[/tex]

T₂ = 1064.96 ⁰R

Therefore, the maximum temperature of the cycle is 1065⁰R

hamzaahmeds hamzaahmeds · Answer 2 · 2021-12-15T12:24:19+01:00

this question involves the concepts of Otto Cycle, temperature, and compression ratio.

The maximum temperature is "1064.8 °R".

Maximum temperature can be obtained using the following formula for otto cycle:

[tex]\frac{T_2}{T_1}=\frac{V_1}{V_2}^{\gamma-1}[/tex]

where,

[tex]\frac{V_1}{V_2}[/tex] = compression ratio = 6

T₁ = lower temperature = 520 °R

T₂ = maximum temperature = ?

[tex]\gamma[/tex] = ratio of specific heats = 1.4 for air

Therefore,

[tex]T_2=(520^oR)(6)^{1.4-1}[/tex]

T₂ = 1064.8 °R

learn more about otto cycle here:

https://brainly.com/question/12976213?referrer=searchResults