Tutor profile: Arya S.
If 52 grams of a solute are added to 423 grams of water to make a 0.76M of solution, what is the molar mass of the solute?
To understand this question, we must first understand the concepts of molarity and molar mass. Molarity can be defined as the moles of solute divided by the liters of solution (M=moles of solute/liters of solution). Molar mass can be defined as the grams of the compound/mole of the compound (mm=g/mol). Also, we need to keep in mind the density of water: 1g/mL. Using this, information, we first change our grams of water to liters of water: (423g H2O)(1mL H2O/1g H2O)(1L/1000mL)=0.423L H2O Taking the information in the question and plugging them in the molarity equation (M=moles of solute/liters of solution), we get: 0.76=(moles of solute)/(0.423L of solution) Solving for moles of solute, we have: moles of solute=(0.76mol/L)(0.423L) Because the question asks us for the molar mass (g/mol), we will have to take our given mass of solute (52g) and divide it by the moles of solute (0.76mol/L)(0.423L), giving us our final answer of: Molar Mass of Solute=(52g)/((0.76)(0.423)moles)=161.8g/mol
Which female lion shows a higher fitness within her population? a. A female with no offspring b. A female with 10 offspring but 9 die c. A female with 3 offspring and none die d. A female with 12 offspring and 10 die e. a female with 3 offspring and 1 dies
To answer this question, we must first understand what fitness is, in the context of biology. When talking about fitness, the question is referring to an organism's ability to reproduce and pass on its traits to its viable offspring. In essence, it is the number of living, viable offspring that will determine an organism's fitness. With this understanding, let's look at the answer choices. Answer choice a: We can rule this one out because this female produced no offspring and therefore has an extremely low fitness. Answer choice b: In this case, the female had 10 offspring but only 1 survived. This means that the only 10% of the female's offspring would be able to pass on her traits. Choice c has a much higher fitness. Answer choice c: Keeping in mind the definition of fitness, we can see that all of this female's offspring survived. Additionally, we can see that, of the answer choices, this female had the most offspring survive. Therefore, this is the correct answer. Answer choice d: In this case 2/12 of the female's offspring survive, giving us a lower survival rate than the female in choice c. Answer choice e: much like in answer choice d, this female only has 2 surviving offspring; this is one less than the female in answer choice c, further proving c is our correct answer.
Solve the following equation: 5x+2(x-8)=14-3x
To solve this equation, we want to begin by multiplying out the term in the parenthesis. This will give us: 5x+2x-16=14-3x We see that we can now simplify our equation a little by adding together the 5x and 2x. This will give us: 7x-16=14-3x From here, we want to combine like terms; we want to get everything with an "x" on one side of the equal sign and everything without an "x" on the other. We can achieve this in multiple ways; but in this case, we are going to add 3x to both sides of the equation and then add 16 to both sides (what you do on one side of the equal sign, you must do to the other). This will give us an equation that looks like: 10x=30 From here we want to solve for x. We will do this by dividing both sides of the equation by 10, giving us our answer: x=10
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