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10 The emergency services are dealing with a toxic gas cloud aPoulnu a leaking gas cylinder 50 metres away. The prevailing conditions mean that the concentration C in parts per million (ppm) of the gas increases proportionally to the concentration as one moves towards EMERGENCY SERVICES the cylinder. That is, towards the cylinder from their current position. dC = kC, where x is the distance in metres dx Coekr is a solution of the above equation. a Show that C = b At the truck, where x = 0, the concentration is C = 20000 ppm. Five metres closer, the concentration is C = 22500 ppm. Use this information to find the values of the constante Give k exactly, then correct to three decimal places. c Find the gas concentration at the cylinder, correct to the nearest %3D

10 The emergency services are dealing with a toxic gas cloud aPoulnu a leaking gas cylinder 50 metres away. The prevailing conditions mean that the concentration C in parts per million (ppm) of the gas increases proportionally to the concentration as one moves towards EMERGENCY SERVICES the cylinder. That is, towards the cylinder from their current position. dC = kC, where x is the distance in metres dx Coekr is a solution of the above equation. a Show that C = b At the truck, where x = 0, the concentration is C = 20000 ppm. Five metres closer, the concentration is C = 22500 ppm. Use this information to find the values of the constante Give k exactly, then correct to three decimal places. c Find the gas concentration at the cylinder, correct to the nearest %3D

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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e How long will it lake to U. 10 The emergency services are dealing with a toxic gas cloud around a leaking gas cylinder 50 metres away. The prevailing conditions mean that the concentration C in parts per million (ppm) of the gas increases proportionally to the concentration as one moves towards EMERGENCY SERVICES 0. 50 dC = kC, where x is the distance in metres dx the cylinder. That is, towards the cylinder from their current position. Coekr is a solution of the above equation. a Show that C = h. At the truck, where x = 0, the concentration is C = 20000 ppm. Five metres closer, the concentration is C = 22500 ppm. Use this information to find the values of the constante G Give k exactly, then correct to three decimal places. c Find the gas concentration at the cylinder, correct to the nearest part per million. d The accepted safe level for this gas is 30 parts per million. The emergency services calculate how far back from the cylinder they should keep the public, rounding their answer up to the nearest 10 metres. i How far do they keep the public back? ii Why do they round their answer up and not round it in the normal way?
Transcribed Image Text:e How long will it lake to U. 10 The emergency services are dealing with a toxic gas cloud around a leaking gas cylinder 50 metres away. The prevailing conditions mean that the concentration C in parts per million (ppm) of the gas increases proportionally to the concentration as one moves towards EMERGENCY SERVICES 0. 50 dC = kC, where x is the distance in metres dx the cylinder. That is, towards the cylinder from their current position. Coekr is a solution of the above equation. a Show that C = h. At the truck, where x = 0, the concentration is C = 20000 ppm. Five metres closer, the concentration is C = 22500 ppm. Use this information to find the values of the constante G Give k exactly, then correct to three decimal places. c Find the gas concentration at the cylinder, correct to the nearest part per million. d The accepted safe level for this gas is 30 parts per million. The emergency services calculate how far back from the cylinder they should keep the public, rounding their answer up to the nearest 10 metres. i How far do they keep the public back? ii Why do they round their answer up and not round it in the normal way?
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