Exp

The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV

JulijaS [17]

Answer:

$\frac{dT}{dt}=3.78^{\circ}K/min$

Step-by-step explanation:

We have to calculate the time derivative of T=PV/nR with P and V variable and n and R constants. This is:

$\frac{dT}{dt} =\frac{d\frac{PV}{nR}}{dt}=\frac{1}{nR}\frac{d(PV)}{dt}$

What we have to do is the derivative of a product:

$\frac{d(PV)}{dt}=P\frac{dV}{dt}+V\frac{dP}{dt}$

Substituting, we have:

$\frac{dT}{dt} =\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}$

where all these values are given since the time derivatives of P and V are their variation rate, using minutes.

We then substitute everything, noticing that already everything is in the same system of units so they cancel out:

$\frac{dT}{dt}=\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}=\frac{(8atm)(0.16L/min)+(13L)(0.14atm/min)}{(10mol)(0.0821Latm/mol^{\circ}K)}$

And then just calculate:

$\frac{dT}{dt}=3.78^{\circ}K/min$

6 0

3 years ago

The table shows the temperature of ocean water in degrees Celsius at different depths in meters: Depth (meters) 0 500 1,000 1,50

NARA [144]

You can use the fact that the corresponding values from both the columns are taken into ordered pair (x,y) form to plot them on the 2d graphs (for 2 data values' set)

The scatter plot best representing the data in the table is given by

Option D: Plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

<h3>How are ordered pairs formed for plotting 2d data?</h3>

There are two axis in the graph. Horizontal axis and vertical axis. The independent variable is plotted on horizontal axis and dependent variable's values are plotted on vertical axis.

Since the temperature is measured on each value of depth, thus, depth is independent and temperature is depending on the depth.

The data points are ordered as

(independent variables' value, dependent variables' value at that value of independent variable)

Thus, for the given table, we will have:

(0, 23.5), (500, 12), ... points.(it is denoting like what was the value of second variable when first variable was this. Like when depth was 0, temperature was 23.5 degrees Celsius, and so on).

Thus,

The scatter plot best representing the data in the table is given by

Option D: Plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

Learn more about scatter plot here:

brainly.com/question/10578193

3 0

2 years ago

Find X segment of circles

Pachacha [2.7K]

Answer:

x = 88/45

Step-by-step explanation:

square of tangent segment = produce of entire secant and segment of secant outside circle

(GH)² = GS × GW

(13)² = 9(5x + 9)

169 = 45x + 81

45x = 88

x = 88/45

6 0

3 years ago

Marcus is planning a budget. He plans to spend less than 25% of his allowance each week on entertainment. Last week Marcus spent

g100num [7]

Marcus went above his budget as 25% percent of his allowance would be $5, and he went $2.42 over.

4 0

3 years ago

A parachutist's speed during a free fall reaches 75 meters per second. What is this speed in feet per second? At this speed, how

Alex

Polly uses a probability simulator to pull colored ribbons from a bag 60 times and to flip a coin 60 times. The results are shown in the tables below:

Color of RibbonNumber of Times PulledWhite25Green14Orange21

HeadsTails3822

Using Polly's simulation, what is the probability of pulling an orange ribbon and the coin landing on tails?

3 0

3 years ago

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