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Nitroglycerin, a very unstable compound (molecular structure shown below), is a liquid at room temperature. When heated to 218.0°C or subjected to shock, it rapidly decomposes into four different gases. Liquid nitroglycerin has a density of approximately 1.60 g/mL. The nitroglycerin decomposition reaction equation is: 4 C3H5N3O9 (1)→ 12 CO₂ (g) + 10 H₂O(g) + 6 N₂(g) + O₂(g) Assume that when heated to 218.0°C, 1.00 lb of nitroglycerin explodes heating the product gases to 750.0°C. Determine the total gas volume, in L, produced by the explosion. Assume that the pressure generated by the explosion is 7.50 atm. H₂C-O ngh H₂C-CH nitroglycerin O

Nitroglycerin, a very unstable compound (molecular structure shown below), is a liquid at room temperature. When heated to 218.0°C or subjected to shock, it rapidly decomposes into four different gases. Liquid nitroglycerin has a density of approximately 1.60 g/mL. The nitroglycerin decomposition reaction equation is: 4 C3H5N3O9 (1)→ 12 CO₂ (g) + 10 H₂O(g) + 6 N₂(g) + O₂(g) Assume that when heated to 218.0°C, 1.00 lb of nitroglycerin explodes heating the product gases to 750.0°C. Determine the total gas volume, in L, produced by the explosion. Assume that the pressure generated by the explosion is 7.50 atm. H₂C-O ngh H₂C-CH nitroglycerin O

Chemistry for Engineering Students
Chemistry for Engineering Students
4th Edition
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter4: Stoichiometry
Section: Chapter Questions
Problem 4.100PAE
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Nitroglycerin, a very unstable compound (molecular structure shown below), is a liquid at room temperature. When heated to 218.0°C or subjected to shock, it rapidly decomposes into four different gases. Liquid nitroglycerin has a density of approximately 1.60 g/mL. The nitroglycerin decomposition reaction equation is: 4 C3H5N3O9 (1)→ 12 CO₂(g) + 10 H₂O(g) + 6 N₂(g) + O₂(g) Assume that when heated to 218.0°C, 1.00 lb of nitroglycerin explodes heating the product gases to 750.0°C. Determine the total gas volume, in L, produced by the explosion. Assume that the pressure generated by the explosion is 7.50 atm. -O H₂C- H₂C -O -CH O N nitroglycerin
Transcribed Image Text:Nitroglycerin, a very unstable compound (molecular structure shown below), is a liquid at room temperature. When heated to 218.0°C or subjected to shock, it rapidly decomposes into four different gases. Liquid nitroglycerin has a density of approximately 1.60 g/mL. The nitroglycerin decomposition reaction equation is: 4 C3H5N3O9 (1)→ 12 CO₂(g) + 10 H₂O(g) + 6 N₂(g) + O₂(g) Assume that when heated to 218.0°C, 1.00 lb of nitroglycerin explodes heating the product gases to 750.0°C. Determine the total gas volume, in L, produced by the explosion. Assume that the pressure generated by the explosion is 7.50 atm. -O H₂C- H₂C -O -CH O N nitroglycerin
Expert Solution
Step 1: Given information:

It is given that when nitroglycerin is heated at 218 space to the power of o C, it gets decomposed to produce 4 different gases.

The decomposition reaction for nitroglycerin is given as follows:

4 C subscript 3 H subscript 5 N subscript 3 O subscript 9 space left parenthesis l right parenthesis space rightwards arrow 12 C O subscript 2 space left parenthesis g right parenthesis space plus space 10 H subscript 2 O space left parenthesis g right parenthesis space plus space 6 N subscript 2 space left parenthesis g right parenthesis space plus space O subscript 2 space left parenthesis g right parenthesis

Mass of nitroglycerin explodes is given as 1.00 space l b.

The total pressure of the gases produced after explosion is given as 7.50 space a t m.

When nitroglycerin explodes to produce 4 different gases then temperature changes to 750 to the power of space o end exponent C.

The relationship between temperature in degrees Celsius and temperature in Kelvin is given by an expression:

T space left parenthesis K right parenthesis space equals space t space to the power of o C space plus space 273.15

Converting 750 to the power of space o end exponent C in Kelvin.

T space left parenthesis K right parenthesis space equals space 750 to the power of o C space plus space 273.15 space space space space space space space space space space equals space 1023.15 space K


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