Problem 5.4: For each of the following conditions, compute (i) the mechanical work w done by a sample of dry air, and (ii) the heat q added to the sample. a) Isothermal compression to one-fifth of its original volume at 15°C. Answer: (i) -1.3 x 105 J kg-¹ (ii) -1.3 x 105 J kg-¹ b) Isobaric heating from 0°C to 20°C. -1 Answer: (i) 5.7 x 103 J kg-¹ (ii) 2.0 x 104 J kg-¹ c) Isochoric heating from 0°C to 20°C.

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Can someone please help me understand how these answers were reached? Thank you!
Key fact:
The adiabatic process is of special signifi-
cance in meteorology because many of the changes that
affect a moving volume of air in the atmosphere can be
approximated as adiabatic.
Problem 5.4: For each of the following conditions, compute (i) the
mechanical work w done by a sample of dry air, and (ii) the heat 9
added to the sample.
a) Isothermal compression to one-fifth of its original volume at
15°C.
Answer: (i) -1.3 x 105 J kg-¹ (ii) -1.3 × 105 J kg-1
b) Isobaric heating from 0°C to 20°C.
Answer: (i) 5.7 x 103 J kg-¹ (ii) 2.0 x 104 J kg-1
c) Isochoric heating from 0°C to 20°C.
Answer: (i) 0 J kg-¹ (ii) 1.4 x 104 J kg-¹
-1
d) Adiabiatic expansion to five times its original volume, with
initial temperature of 20°C.
Answer: (i) 5.7 x 10³ J kg-¹ (ii) 0 J kg-¹
-1
Pro
Hen
kitchen oven has an interior volume V of 0.12 m³.
en is preheated from an initial temperature To of
ng temperature T₁ of 175°C. The initial pressure po
nals the outside pressure of 1000 hPa.
ealed (i.e., the process is isochoric), how much
Transcribed Image Text:Key fact: The adiabatic process is of special signifi- cance in meteorology because many of the changes that affect a moving volume of air in the atmosphere can be approximated as adiabatic. Problem 5.4: For each of the following conditions, compute (i) the mechanical work w done by a sample of dry air, and (ii) the heat 9 added to the sample. a) Isothermal compression to one-fifth of its original volume at 15°C. Answer: (i) -1.3 x 105 J kg-¹ (ii) -1.3 × 105 J kg-1 b) Isobaric heating from 0°C to 20°C. Answer: (i) 5.7 x 103 J kg-¹ (ii) 2.0 x 104 J kg-1 c) Isochoric heating from 0°C to 20°C. Answer: (i) 0 J kg-¹ (ii) 1.4 x 104 J kg-¹ -1 d) Adiabiatic expansion to five times its original volume, with initial temperature of 20°C. Answer: (i) 5.7 x 10³ J kg-¹ (ii) 0 J kg-¹ -1 Pro Hen kitchen oven has an interior volume V of 0.12 m³. en is preheated from an initial temperature To of ng temperature T₁ of 175°C. The initial pressure po nals the outside pressure of 1000 hPa. ealed (i.e., the process is isochoric), how much
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Hi there!

can you please tell me why you didn't use a value for m in the first question?

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