<span>320. seconds
The ideal gas law is
PV = nRT
where
P = pressure of the gas
V = volume of the gas
n = number of moles of the gas
R = the ideal gas constant
T = absolute temperature of the gas.
Since we're going to want the volume, solve for V
PV = nRT
V = nRT/P
755 mmHg converts to 100658.11 Pascals
25 C = 298.15 K
Let's calculate nT/P, then we'll multiply by R
1 mol * 298.15 K / 100658.11 Pa = 0.002962007 K mol/Pa
The value for R in the most convenient units is 8.3144598 m^3 Pa/(K mol), so
0.002962007 K mol/Pa * 8.3144598 m^3 Pa/(K mol) = 0.024627486 m^3
So 1 mole of air at the specified temperature and pressure has a volume of 24.627 liters. The rest of the problem is now trivial. Just divide by the rate of consumption, so
24.627 l / 0.0770 l/s = 319.8374798 s
Rounding the result to 3 significant figures gives 320. seconds.</span>
The correct option is A: the force exerted on the wall by the sledgehammer is - 1000 N
<h3>Newton's third law</h3>
Newton's third law of motion states that for every action or force, there is an equal but oppositely directed force.
<h3>Application of the newton's third law</h3>
Force with which the sledgehammer hits the wall = 1000 N
- From the Newton's third law, an equal but oppositely directed force is exerted on the sledgehammer by the wall.
Thus, the force exerted by the sledgehammer on the wall = -1000 N
- The negative sign indicates that the force acts in a direction opposite to that of the sledgehammer.
Thus, the correct option is A: the force exerted on the wall by the sledgehammer is - 1000 N
Learn more about Newton's third law and force at: brainly.com/question/13874955
Answer:
R = 9880 yd * 3 ft/yd / 5280 ft/mi = 5.61 mi
If you do it in steps
R = 9880 yd * 3 ft/yd = 29640 ft
R = 29640 ft / 5280 ft/mi = 5.61 mi
Answer:
mark two options:
B. TSN and ISW
D. ISN and TSW
Explanation:
Recall the definition of vertical angles as: <em>those angles opposed by the vertex, and which are the result of two lines that intersect</em>.
In the figure given there are two pairs such angles, one pair I depicted in red, and the other one in blue, while the intersecting lines are shown in green. Notice that when two lines intersect, there are always two pairs of vertical angles being generated.
Therefore, according to the notation given, two boxes need to be checked in the set of options:
1) the one corresponding to : TSN and ISW (blue ones in the attached image)
and
2) the one corresponding to ISN and TSW (red ones in the attached image)
Answer:
371.2 mm
Explanation:
The Balmer series of spectral lines is obtained from the formula
1/λ = R(1/2² -1/n²) where λ = wavelength, R = Rydberg's constant = 1.097 × 10⁷ m⁻¹
when n = 15
1/λ = 1.097 × 10⁷ m⁻¹(1/2² -1/15²)
= 1.097 × 10⁷ m⁻¹(1/4 -1/225)
= 1.097 × 10⁷ m⁻¹(0.25 - 0.0044)
= 1.097 × 10⁷ m⁻¹ 0.245556
= 2.693 10⁶ m⁻¹
So,
λ = 1/2.693 10⁶ m⁻¹
= 0.3712 10⁻⁶ m
= 371.2 mm