The following equation can be used to relate the density of Equid water to Celsius temperature in the range from 0 °C to about 20 °C: d ( g / c m 3 ) = 0.99984 + ( 1.6945 × 10 − 2 t ) − ( 7.987 × 10 − 6 t 2 ) 1 + ( 1.6880 + 10 − 2 t ) a. To four significant figures, determine the density of water at 10 °C. b. At what temperature does water have a density of 0.99860 g/cm 3 ? c. In the following ways, show that the density passes through a maximum somewhere in the temperature range to which the equation applies. i. by estimation ii. by a graphical method iii. by a method based on differential calculus
The following equation can be used to relate the density of Equid water to Celsius temperature in the range from 0 °C to about 20 °C: d ( g / c m 3 ) = 0.99984 + ( 1.6945 × 10 − 2 t ) − ( 7.987 × 10 − 6 t 2 ) 1 + ( 1.6880 + 10 − 2 t ) a. To four significant figures, determine the density of water at 10 °C. b. At what temperature does water have a density of 0.99860 g/cm 3 ? c. In the following ways, show that the density passes through a maximum somewhere in the temperature range to which the equation applies. i. by estimation ii. by a graphical method iii. by a method based on differential calculus
Solution Summary: The author explains how the density of water is calculated using the following formula: d= mV Here, m is mass and V is volume.
The following equation can be used to relate the density of Equid water to Celsius temperature in the range from 0 °C to about 20 °C:
d
(
g
/
c
m
3
)
=
0.99984
+
(
1.6945
×
10
−
2
t
)
−
(
7.987
×
10
−
6
t
2
)
1
+
(
1.6880
+
10
−
2
t
)
a. To four significant figures, determine the density of water at 10 °C. b. At what temperature does water have a density of 0.99860 g/cm3? c. In the following ways, show that the density passes through a maximum somewhere in the temperature range to which the equation applies. i. by estimation ii. by a graphical method iii. by a method based on differential calculus
A gaseous system A, with an initial temperature T1, is set to interact with a gaseous system B at an initial temperature T2. The molecules of A and B, both monoatomic, can interact with each other through a wall without mixing. It is known that T2 > T1. Considering this situation, answer the following question.
Consider the statements below and type the sum of the numbers associated with the correct ones (write only the number):
(1) System B necessarily has a higher initial energy than A
(2) System A may have a higher initial energy than B
(4) the molecules of system B have a greater average kinetic energy than those of system A
(8) From a microscopic point of view, there can never be a collision between molecules in which a molecule of system A loses energy to a molecule of system B
(16) The system with more molecules necessarily has the lowest energy
Boyle’s law for confined gases states that if the temperature is constant, pv = c, where p ispressure, v is volume, and c is a constant. At a certain instant the volume is 75 cubic inches, thepressure is 30 psi, and the pressure is decreasing at the rate of 2 psi every minute. What is therate of change of the volume at that instant?
Write the net ionic equation for
3HNO3(aq)+Al(OH)3(S) = Al(NO3)3(aq)+3H2O(l)
Express your answer as a balanced net ionic equation. Identify all of the phases in your answer.
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