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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 44e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 44e

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# Ideal Gas Law The pressure P . temperature T , and volume ISBN: 9780321570567 2

## Solution for problem 44E Chapter 4.5

Calculus: Early Transcendentals | 1st Edition

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Problem 44E

Ideal Gas Law The pr?essure P ? . tempe?rature T? , and v?olume V? of an ideal gas are related by ? P? V =? RT? , where ?n is the number of moles of the ?gas and ?R is the universal gas constant. For the purposes of this exerc ? ise, let ?n? 1; thus, ? = ?T/V. a. Suppose that the volume is held constant and the temperature increases by ? ?T? = 0.05. What is the approximate change in the pressure? Does the pressure increase or decrease? b.Suppose that the temperature is held constant and the volume increases by ? ??V = 0.1. What is the approximate change in the pressure? Does the pressure increase or decrease? c. Suppose that the pressure is held constant and the volume increases by ??V = 0.1. What is the approximate change in the temperature? Does the temperature increase or decrease?

Step-by-Step Solution:
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SOLUTION Given P = T V STEP 1 (a). Here Volume is held constant.Thus P is a function of T. Therefore we can write P(T) = T V P (T) = 1 V Now the increase in temperature, T = 0.05 The approximate change in pressure is given by P = P (T)T = 0.05 V This is a positive quantity.Thus the pressure increases with the increase in temperature. STEP 2 (b). Here temperature is held constant.Thus P is a function of V. T Therefore we can write P(V) = V P (V) = V2 Now the increase in temperature, V = 0.1 The approximate change in pressure is given by P = P (V)V = 0.1T V2 This is a negative quantity.Thus the pressure decreases with the increase in volume. STEP 3 (c). Here pressure is held constant. We have to find the approximate change in temperature.Thus we can rewrite the equation as T = PV Since the pressure is constant here T is a function of V Therefore we can write T(V) = PV T (V) = P Now the increase in temperature, V = 0.1 The approximate change in temperature is given by T = T (V)V = 0.1P This is a positive quantity.Thus the temperature increases with the increase in volume.

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##### ISBN: 9780321570567

Since the solution to 44E from 4.5 chapter was answered, more than 365 students have viewed the full step-by-step answer. The answer to “Ideal Gas Law The pr?essure P ? . tempe?rature T? , and v?olume V? of an ideal gas are related by ? P? V =? RT? , where ?n is the number of moles of the ?gas and ?R is the universal gas constant. For the purposes of this exerc ? ise, let ?n? 1; thus, ? = ?T/V. a. Suppose that the volume is held constant and the temperature increases by ? ?T? = 0.05. What is the approximate change in the pressure? Does the pressure increase or decrease? b.Suppose that the temperature is held constant and the volume increases by ? ??V = 0.1. What is the approximate change in the pressure? Does the pressure increase or decrease? c. Suppose that the pressure is held constant and the volume increases by ??V = 0.1. What is the approximate change in the temperature? Does the temperature increase or decrease?” is broken down into a number of easy to follow steps, and 150 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: pressure, temperature, constant, gas, Volume. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 44E from chapter: 4.5 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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